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Finding the Third Proportional to 272,439 and 425,217

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Solution

The third proportional to 272,439 and 425,217 is: 663,669.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,439 : 425,217 = 425,217 : x
  2. Step 2: Convert to fraction form
    272,439/425,217 = 425,217/x
  3. Step 3: Cross multiply
    272,439x = 425,217 × 425,217
  4. Step 4: Simplify right side
    272,439x = 180,809,497,089
  5. Step 5: Solve for x
    x = 180,809,497,089/272,439
  6. Step 6: Final answer
    x = 663,669.65

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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.