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Finding the Third Proportional to 376,541 and 814,264

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Solution

The third proportional to 376,541 and 814,264 is: 1,760,833.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,541 : 814,264 = 814,264 : x
  2. Step 2: Convert to fraction form
    376,541/814,264 = 814,264/x
  3. Step 3: Cross multiply
    376,541x = 814,264 × 814,264
  4. Step 4: Simplify right side
    376,541x = 663,025,861,696
  5. Step 5: Solve for x
    x = 663,025,861,696/376,541
  6. Step 6: Final answer
    x = 1,760,833.11

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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.