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Finding the Third Proportional to 239,532 and 521,588

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Solution

The third proportional to 239,532 and 521,588 is: 1,135,773.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,532 : 521,588 = 521,588 : x
  2. Step 2: Convert to fraction form
    239,532/521,588 = 521,588/x
  3. Step 3: Cross multiply
    239,532x = 521,588 × 521,588
  4. Step 4: Simplify right side
    239,532x = 272,054,041,744
  5. Step 5: Solve for x
    x = 272,054,041,744/239,532
  6. Step 6: Final answer
    x = 1,135,773.27

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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.