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Finding the Third Proportional to 299,871 and 638,577

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Solution

The third proportional to 299,871 and 638,577 is: 1,359,853.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,871 : 638,577 = 638,577 : x
  2. Step 2: Convert to fraction form
    299,871/638,577 = 638,577/x
  3. Step 3: Cross multiply
    299,871x = 638,577 × 638,577
  4. Step 4: Simplify right side
    299,871x = 407,780,584,929
  5. Step 5: Solve for x
    x = 407,780,584,929/299,871
  6. Step 6: Final answer
    x = 1,359,853.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.