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Finding the Third Proportional to 538,227.56 and 731,282.06

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Solution

The third proportional to 538,227.56 and 731,282.06 is: 993,582.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,227.56 : 731,282.06 = 731,282.06 : x
  2. Step 2: Convert to fraction form
    538,227.56/731,282.06 = 731,282.06/x
  3. Step 3: Cross multiply
    538,227.56x = 731,282.06 × 731,282.06
  4. Step 4: Simplify right side
    538,227.56x = 534,773,454,934.25
  5. Step 5: Solve for x
    x = 534,773,454,934.25/538,227.56
  6. Step 6: Final answer
    x = 993,582.44

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.