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Finding the Third Proportional to 249,430 and 380,372.50

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Solution

The third proportional to 249,430 and 380,372.50 is: 580,055.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,430 : 380,372.50 = 380,372.50 : x
  2. Step 2: Convert to fraction form
    249,430/380,372.50 = 380,372.50/x
  3. Step 3: Cross multiply
    249,430x = 380,372.50 × 380,372.50
  4. Step 4: Simplify right side
    249,430x = 144,683,238,756.25
  5. Step 5: Solve for x
    x = 144,683,238,756.25/249,430
  6. Step 6: Final answer
    x = 580,055.48

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.