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Finding the Third Proportional to 125,447 and 270,577

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Solution

The third proportional to 125,447 and 270,577 is: 583,608.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,447 : 270,577 = 270,577 : x
  2. Step 2: Convert to fraction form
    125,447/270,577 = 270,577/x
  3. Step 3: Cross multiply
    125,447x = 270,577 × 270,577
  4. Step 4: Simplify right side
    125,447x = 73,211,912,929
  5. Step 5: Solve for x
    x = 73,211,912,929/125,447
  6. Step 6: Final answer
    x = 583,608.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.