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Finding the Third Proportional to 514,734.75 and 787,411.13

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Solution

The third proportional to 514,734.75 and 787,411.13 is: 1,204,535.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,734.75 : 787,411.13 = 787,411.13 : x
  2. Step 2: Convert to fraction form
    514,734.75/787,411.13 = 787,411.13/x
  3. Step 3: Cross multiply
    514,734.75x = 787,411.13 × 787,411.13
  4. Step 4: Simplify right side
    514,734.75x = 620,016,279,773.77
  5. Step 5: Solve for x
    x = 620,016,279,773.77/514,734.75
  6. Step 6: Final answer
    x = 1,204,535.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.