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Finding the Third Proportional to 272,532 and 425,351

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Solution

The third proportional to 272,532 and 425,351 is: 663,861.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,532 : 425,351 = 425,351 : x
  2. Step 2: Convert to fraction form
    272,532/425,351 = 425,351/x
  3. Step 3: Cross multiply
    272,532x = 425,351 × 425,351
  4. Step 4: Simplify right side
    272,532x = 180,923,473,201
  5. Step 5: Solve for x
    x = 180,923,473,201/272,532
  6. Step 6: Final answer
    x = 663,861.39

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.