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Finding the Third Proportional to 506,746.13 and 754,651.69

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Solution

The third proportional to 506,746.13 and 754,651.69 is: 1,123,835.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,746.13 : 754,651.69 = 754,651.69 : x
  2. Step 2: Convert to fraction form
    506,746.13/754,651.69 = 754,651.69/x
  3. Step 3: Cross multiply
    506,746.13x = 754,651.69 × 754,651.69
  4. Step 4: Simplify right side
    506,746.13x = 569,499,169,446.60
  5. Step 5: Solve for x
    x = 569,499,169,446.60/506,746.13
  6. Step 6: Final answer
    x = 1,123,835.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.