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Finding the Third Proportional to 331,700.06 and 497,028.66

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Solution

The third proportional to 331,700.06 and 497,028.66 is: 744,761.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,700.06 : 497,028.66 = 497,028.66 : x
  2. Step 2: Convert to fraction form
    331,700.06/497,028.66 = 497,028.66/x
  3. Step 3: Cross multiply
    331,700.06x = 497,028.66 × 497,028.66
  4. Step 4: Simplify right side
    331,700.06x = 247,037,485,133.68
  5. Step 5: Solve for x
    x = 247,037,485,133.68/331,700.06
  6. Step 6: Final answer
    x = 744,761.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.