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Finding the Third Proportional to 497,256 and 764,761.88

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Solution

The third proportional to 497,256 and 764,761.88 is: 1,176,176.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,256 : 764,761.88 = 764,761.88 : x
  2. Step 2: Convert to fraction form
    497,256/764,761.88 = 764,761.88/x
  3. Step 3: Cross multiply
    497,256x = 764,761.88 × 764,761.88
  4. Step 4: Simplify right side
    497,256x = 584,860,725,453.52
  5. Step 5: Solve for x
    x = 584,860,725,453.52/497,256
  6. Step 6: Final answer
    x = 1,176,176.31

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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.