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Finding the Third Proportional to 536,982 and 752,577

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Solution

The third proportional to 536,982 and 752,577 is: 1,054,732.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,982 : 752,577 = 752,577 : x
  2. Step 2: Convert to fraction form
    536,982/752,577 = 752,577/x
  3. Step 3: Cross multiply
    536,982x = 752,577 × 752,577
  4. Step 4: Simplify right side
    536,982x = 566,372,140,929
  5. Step 5: Solve for x
    x = 566,372,140,929/536,982
  6. Step 6: Final answer
    x = 1,054,732.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.