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Finding the Third Proportional to 278,436 and 424,182

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Solution

The third proportional to 278,436 and 424,182 is: 646,218.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,436 : 424,182 = 424,182 : x
  2. Step 2: Convert to fraction form
    278,436/424,182 = 424,182/x
  3. Step 3: Cross multiply
    278,436x = 424,182 × 424,182
  4. Step 4: Simplify right side
    278,436x = 179,930,369,124
  5. Step 5: Solve for x
    x = 179,930,369,124/278,436
  6. Step 6: Final answer
    x = 646,218.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.