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Finding the Third Proportional to 239,647.50 and 521,577

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Solution

The third proportional to 239,647.50 and 521,577 is: 1,135,177.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,647.50 : 521,577 = 521,577 : x
  2. Step 2: Convert to fraction form
    239,647.50/521,577 = 521,577/x
  3. Step 3: Cross multiply
    239,647.50x = 521,577 × 521,577
  4. Step 4: Simplify right side
    239,647.50x = 272,042,566,929
  5. Step 5: Solve for x
    x = 272,042,566,929/239,647.50
  6. Step 6: Final answer
    x = 1,135,177.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.