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Finding the Third Proportional to 399,076 and 619,600

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Solution

The third proportional to 399,076 and 619,600 is: 961,982.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,076 : 619,600 = 619,600 : x
  2. Step 2: Convert to fraction form
    399,076/619,600 = 619,600/x
  3. Step 3: Cross multiply
    399,076x = 619,600 × 619,600
  4. Step 4: Simplify right side
    399,076x = 383,904,160,000
  5. Step 5: Solve for x
    x = 383,904,160,000/399,076
  6. Step 6: Final answer
    x = 961,982.58

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.