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Finding the Third Proportional to 484,098.75 and 746,560.13

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Solution

The third proportional to 484,098.75 and 746,560.13 is: 1,151,318.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,098.75 : 746,560.13 = 746,560.13 : x
  2. Step 2: Convert to fraction form
    484,098.75/746,560.13 = 746,560.13/x
  3. Step 3: Cross multiply
    484,098.75x = 746,560.13 × 746,560.13
  4. Step 4: Simplify right side
    484,098.75x = 557,352,020,240.02
  5. Step 5: Solve for x
    x = 557,352,020,240.02/484,098.75
  6. Step 6: Final answer
    x = 1,151,318.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.