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Finding the Third Proportional to 312,545.25 and 466,759.13

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Solution

The third proportional to 312,545.25 and 466,759.13 is: 697,064.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,545.25 : 466,759.13 = 466,759.13 : x
  2. Step 2: Convert to fraction form
    312,545.25/466,759.13 = 466,759.13/x
  3. Step 3: Cross multiply
    312,545.25x = 466,759.13 × 466,759.13
  4. Step 4: Simplify right side
    312,545.25x = 217,864,080,770.77
  5. Step 5: Solve for x
    x = 217,864,080,770.77/312,545.25
  6. Step 6: Final answer
    x = 697,064.12

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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.