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Finding the Third Proportional to 497,255.50 and 764,761.50

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Solution

The third proportional to 497,255.50 and 764,761.50 is: 1,176,176.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,255.50 : 764,761.50 = 764,761.50 : x
  2. Step 2: Convert to fraction form
    497,255.50/764,761.50 = 764,761.50/x
  3. Step 3: Cross multiply
    497,255.50x = 764,761.50 × 764,761.50
  4. Step 4: Simplify right side
    497,255.50x = 584,860,151,882.25
  5. Step 5: Solve for x
    x = 584,860,151,882.25/497,255.50
  6. Step 6: Final answer
    x = 1,176,176.34

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.