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Finding the Third Proportional to 327,472.88 and 499,957.31

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Solution

The third proportional to 327,472.88 and 499,957.31 is: 763,291.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,472.88 : 499,957.31 = 499,957.31 : x
  2. Step 2: Convert to fraction form
    327,472.88/499,957.31 = 499,957.31/x
  3. Step 3: Cross multiply
    327,472.88x = 499,957.31 × 499,957.31
  4. Step 4: Simplify right side
    327,472.88x = 249,957,314,322.22
  5. Step 5: Solve for x
    x = 249,957,314,322.22/327,472.88
  6. Step 6: Final answer
    x = 763,291.66

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.