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Finding the Third Proportional to 424,249,570.50 and 654,533,773.50

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Solution

The third proportional to 424,249,570.50 and 654,533,773.50 is: 1,009,817,075.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,249,570.50 : 654,533,773.50 = 654,533,773.50 : x
  2. Step 2: Convert to fraction form
    424,249,570.50/654,533,773.50 = 654,533,773.50/x
  3. Step 3: Cross multiply
    424,249,570.50x = 654,533,773.50 × 654,533,773.50
  4. Step 4: Simplify right side
    424,249,570.50x = 428,414,460,652,149,312
  5. Step 5: Solve for x
    x = 428,414,460,652,149,312/424,249,570.50
  6. Step 6: Final answer
    x = 1,009,817,075.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.