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Finding the Third Proportional to 253,598 and 392,460

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Solution

The third proportional to 253,598 and 392,460 is: 607,358.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,598 : 392,460 = 392,460 : x
  2. Step 2: Convert to fraction form
    253,598/392,460 = 392,460/x
  3. Step 3: Cross multiply
    253,598x = 392,460 × 392,460
  4. Step 4: Simplify right side
    253,598x = 154,024,851,600
  5. Step 5: Solve for x
    x = 154,024,851,600/253,598
  6. Step 6: Final answer
    x = 607,358.31

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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.