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Finding the Third Proportional to 445,984 and 635,758

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Solution

The third proportional to 445,984 and 635,758 is: 906,284.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,984 : 635,758 = 635,758 : x
  2. Step 2: Convert to fraction form
    445,984/635,758 = 635,758/x
  3. Step 3: Cross multiply
    445,984x = 635,758 × 635,758
  4. Step 4: Simplify right side
    445,984x = 404,188,234,564
  5. Step 5: Solve for x
    x = 404,188,234,564/445,984
  6. Step 6: Final answer
    x = 906,284.16

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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.