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Finding the Third Proportional to 533,437.50 and 779,903.25

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Solution

The third proportional to 533,437.50 and 779,903.25 is: 1,140,244.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,437.50 : 779,903.25 = 779,903.25 : x
  2. Step 2: Convert to fraction form
    533,437.50/779,903.25 = 779,903.25/x
  3. Step 3: Cross multiply
    533,437.50x = 779,903.25 × 779,903.25
  4. Step 4: Simplify right side
    533,437.50x = 608,249,079,360.56
  5. Step 5: Solve for x
    x = 608,249,079,360.56/533,437.50
  6. Step 6: Final answer
    x = 1,140,244.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.