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Finding the Third Proportional to 175,598 and 379,564

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Solution

The third proportional to 175,598 and 379,564 is: 820,446.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,598 : 379,564 = 379,564 : x
  2. Step 2: Convert to fraction form
    175,598/379,564 = 379,564/x
  3. Step 3: Cross multiply
    175,598x = 379,564 × 379,564
  4. Step 4: Simplify right side
    175,598x = 144,068,830,096
  5. Step 5: Solve for x
    x = 144,068,830,096/175,598
  6. Step 6: Final answer
    x = 820,446.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.