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Finding the Third Proportional to 506,103 and 764,382

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Solution

The third proportional to 506,103 and 764,382 is: 1,154,468.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,103 : 764,382 = 764,382 : x
  2. Step 2: Convert to fraction form
    506,103/764,382 = 764,382/x
  3. Step 3: Cross multiply
    506,103x = 764,382 × 764,382
  4. Step 4: Simplify right side
    506,103x = 584,279,841,924
  5. Step 5: Solve for x
    x = 584,279,841,924/506,103
  6. Step 6: Final answer
    x = 1,154,468.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.