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Finding the Third Proportional to 370,032 and 808,542

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Solution

The third proportional to 370,032 and 808,542 is: 1,766,712.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,032 : 808,542 = 808,542 : x
  2. Step 2: Convert to fraction form
    370,032/808,542 = 808,542/x
  3. Step 3: Cross multiply
    370,032x = 808,542 × 808,542
  4. Step 4: Simplify right side
    370,032x = 653,740,165,764
  5. Step 5: Solve for x
    x = 653,740,165,764/370,032
  6. Step 6: Final answer
    x = 1,766,712.52

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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.