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Finding the Third Proportional to 557,577 and 886,206

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Solution

The third proportional to 557,577 and 886,206 is: 1,408,524.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,577 : 886,206 = 886,206 : x
  2. Step 2: Convert to fraction form
    557,577/886,206 = 886,206/x
  3. Step 3: Cross multiply
    557,577x = 886,206 × 886,206
  4. Step 4: Simplify right side
    557,577x = 785,361,074,436
  5. Step 5: Solve for x
    x = 785,361,074,436/557,577
  6. Step 6: Final answer
    x = 1,408,524.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.