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Finding the Third Proportional to 253,604 and 392,484

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Solution

The third proportional to 253,604 and 392,484 is: 607,418.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,604 : 392,484 = 392,484 : x
  2. Step 2: Convert to fraction form
    253,604/392,484 = 392,484/x
  3. Step 3: Cross multiply
    253,604x = 392,484 × 392,484
  4. Step 4: Simplify right side
    253,604x = 154,043,690,256
  5. Step 5: Solve for x
    x = 154,043,690,256/253,604
  6. Step 6: Final answer
    x = 607,418.22

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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.