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Finding the Third Proportional to 514,765.13 and 787,456.69

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Solution

The third proportional to 514,765.13 and 787,456.69 is: 1,204,603.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,765.13 : 787,456.69 = 787,456.69 : x
  2. Step 2: Convert to fraction form
    514,765.13/787,456.69 = 787,456.69/x
  3. Step 3: Cross multiply
    514,765.13x = 787,456.69 × 787,456.69
  4. Step 4: Simplify right side
    514,765.13x = 620,088,034,688.47
  5. Step 5: Solve for x
    x = 620,088,034,688.47/514,765.13
  6. Step 6: Final answer
    x = 1,204,603.82

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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.