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Finding the Third Proportional to 331,713 and 499,959

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Solution

The third proportional to 331,713 and 499,959 is: 753,539.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,713 : 499,959 = 499,959 : x
  2. Step 2: Convert to fraction form
    331,713/499,959 = 499,959/x
  3. Step 3: Cross multiply
    331,713x = 499,959 × 499,959
  4. Step 4: Simplify right side
    331,713x = 249,959,001,681
  5. Step 5: Solve for x
    x = 249,959,001,681/331,713
  6. Step 6: Final answer
    x = 753,539.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.