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Finding the Third Proportional to 329,073 and 497,660

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Solution

The third proportional to 329,073 and 497,660 is: 752,615.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,073 : 497,660 = 497,660 : x
  2. Step 2: Convert to fraction form
    329,073/497,660 = 497,660/x
  3. Step 3: Cross multiply
    329,073x = 497,660 × 497,660
  4. Step 4: Simplify right side
    329,073x = 247,665,475,600
  5. Step 5: Solve for x
    x = 247,665,475,600/329,073
  6. Step 6: Final answer
    x = 752,615.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.