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Finding the Third Proportional to 371,703 and 814,542

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Solution

The third proportional to 371,703 and 814,542 is: 1,784,969.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,703 : 814,542 = 814,542 : x
  2. Step 2: Convert to fraction form
    371,703/814,542 = 814,542/x
  3. Step 3: Cross multiply
    371,703x = 814,542 × 814,542
  4. Step 4: Simplify right side
    371,703x = 663,478,669,764
  5. Step 5: Solve for x
    x = 663,478,669,764/371,703
  6. Step 6: Final answer
    x = 1,784,969.91

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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.