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Finding the Third Proportional to 445,978.13 and 635,752.13

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Solution

The third proportional to 445,978.13 and 635,752.13 is: 906,279.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,978.13 : 635,752.13 = 635,752.13 : x
  2. Step 2: Convert to fraction form
    445,978.13/635,752.13 = 635,752.13/x
  3. Step 3: Cross multiply
    445,978.13x = 635,752.13 × 635,752.13
  4. Step 4: Simplify right side
    445,978.13x = 404,180,764,442.02
  5. Step 5: Solve for x
    x = 404,180,764,442.02/445,978.13
  6. Step 6: Final answer
    x = 906,279.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.