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Finding the Third Proportional to 568,896 and 763,344

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Solution

The third proportional to 568,896 and 763,344 is: 1,024,254.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,896 : 763,344 = 763,344 : x
  2. Step 2: Convert to fraction form
    568,896/763,344 = 763,344/x
  3. Step 3: Cross multiply
    568,896x = 763,344 × 763,344
  4. Step 4: Simplify right side
    568,896x = 582,694,062,336
  5. Step 5: Solve for x
    x = 582,694,062,336/568,896
  6. Step 6: Final answer
    x = 1,024,254.10

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.