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Finding the Third Proportional to 371,760 and 814,672

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Solution

The third proportional to 371,760 and 814,672 is: 1,785,265.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,760 : 814,672 = 814,672 : x
  2. Step 2: Convert to fraction form
    371,760/814,672 = 814,672/x
  3. Step 3: Cross multiply
    371,760x = 814,672 × 814,672
  4. Step 4: Simplify right side
    371,760x = 663,690,467,584
  5. Step 5: Solve for x
    x = 663,690,467,584/371,760
  6. Step 6: Final answer
    x = 1,785,265.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.