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Finding the Third Proportional to 313,177.75 and 484,159.13

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Solution

The third proportional to 313,177.75 and 484,159.13 is: 748,488.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,177.75 : 484,159.13 = 484,159.13 : x
  2. Step 2: Convert to fraction form
    313,177.75/484,159.13 = 484,159.13/x
  3. Step 3: Cross multiply
    313,177.75x = 484,159.13 × 484,159.13
  4. Step 4: Simplify right side
    313,177.75x = 234,410,058,320.77
  5. Step 5: Solve for x
    x = 234,410,058,320.77/313,177.75
  6. Step 6: Final answer
    x = 748,488.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.