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Finding the Third Proportional to 252,792 and 379,836

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Solution

The third proportional to 252,792 and 379,836 is: 570,727.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,792 : 379,836 = 379,836 : x
  2. Step 2: Convert to fraction form
    252,792/379,836 = 379,836/x
  3. Step 3: Cross multiply
    252,792x = 379,836 × 379,836
  4. Step 4: Simplify right side
    252,792x = 144,275,386,896
  5. Step 5: Solve for x
    x = 144,275,386,896/252,792
  6. Step 6: Final answer
    x = 570,727.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.