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Finding the Third Proportional to 497,254.50 and 764,760

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Solution

The third proportional to 497,254.50 and 764,760 is: 1,176,174.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,254.50 : 764,760 = 764,760 : x
  2. Step 2: Convert to fraction form
    497,254.50/764,760 = 764,760/x
  3. Step 3: Cross multiply
    497,254.50x = 764,760 × 764,760
  4. Step 4: Simplify right side
    497,254.50x = 584,857,857,600
  5. Step 5: Solve for x
    x = 584,857,857,600/497,254.50
  6. Step 6: Final answer
    x = 1,176,174.09

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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.