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Finding the Third Proportional to 391,446 and 751,788

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Solution

The third proportional to 391,446 and 751,788 is: 1,443,839.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,446 : 751,788 = 751,788 : x
  2. Step 2: Convert to fraction form
    391,446/751,788 = 751,788/x
  3. Step 3: Cross multiply
    391,446x = 751,788 × 751,788
  4. Step 4: Simplify right side
    391,446x = 565,185,196,944
  5. Step 5: Solve for x
    x = 565,185,196,944/391,446
  6. Step 6: Final answer
    x = 1,443,839.50

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.