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Finding the Third Proportional to 666,040.50 and 733,657.50

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Solution

The third proportional to 666,040.50 and 733,657.50 is: 808,139.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,040.50 : 733,657.50 = 733,657.50 : x
  2. Step 2: Convert to fraction form
    666,040.50/733,657.50 = 733,657.50/x
  3. Step 3: Cross multiply
    666,040.50x = 733,657.50 × 733,657.50
  4. Step 4: Simplify right side
    666,040.50x = 538,253,327,306.25
  5. Step 5: Solve for x
    x = 538,253,327,306.25/666,040.50
  6. Step 6: Final answer
    x = 808,139.04

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.