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Finding the Third Proportional to 378,460 and 567,748

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Solution

The third proportional to 378,460 and 567,748 is: 851,709.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,460 : 567,748 = 567,748 : x
  2. Step 2: Convert to fraction form
    378,460/567,748 = 567,748/x
  3. Step 3: Cross multiply
    378,460x = 567,748 × 567,748
  4. Step 4: Simplify right side
    378,460x = 322,337,791,504
  5. Step 5: Solve for x
    x = 322,337,791,504/378,460
  6. Step 6: Final answer
    x = 851,709.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.