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Finding the Third Proportional to 253,584 and 392,446

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Solution

The third proportional to 253,584 and 392,446 is: 607,348.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,584 : 392,446 = 392,446 : x
  2. Step 2: Convert to fraction form
    253,584/392,446 = 392,446/x
  3. Step 3: Cross multiply
    253,584x = 392,446 × 392,446
  4. Step 4: Simplify right side
    253,584x = 154,013,862,916
  5. Step 5: Solve for x
    x = 154,013,862,916/253,584
  6. Step 6: Final answer
    x = 607,348.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.