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Finding the Third Proportional to 124,778 and 270,577

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Solution

The third proportional to 124,778 and 270,577 is: 586,737.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,778 : 270,577 = 270,577 : x
  2. Step 2: Convert to fraction form
    124,778/270,577 = 270,577/x
  3. Step 3: Cross multiply
    124,778x = 270,577 × 270,577
  4. Step 4: Simplify right side
    124,778x = 73,211,912,929
  5. Step 5: Solve for x
    x = 73,211,912,929/124,778
  6. Step 6: Final answer
    x = 586,737.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.