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Finding the Third Proportional to 329,040 and 497,610

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Solution

The third proportional to 329,040 and 497,610 is: 752,539.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,040 : 497,610 = 497,610 : x
  2. Step 2: Convert to fraction form
    329,040/497,610 = 497,610/x
  3. Step 3: Cross multiply
    329,040x = 497,610 × 497,610
  4. Step 4: Simplify right side
    329,040x = 247,615,712,100
  5. Step 5: Solve for x
    x = 247,615,712,100/329,040
  6. Step 6: Final answer
    x = 752,539.85

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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.