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Finding the Third Proportional to 332,105.06 and 448,471.69

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Solution

The third proportional to 332,105.06 and 448,471.69 is: 605,612.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,105.06 : 448,471.69 = 448,471.69 : x
  2. Step 2: Convert to fraction form
    332,105.06/448,471.69 = 448,471.69/x
  3. Step 3: Cross multiply
    332,105.06x = 448,471.69 × 448,471.69
  4. Step 4: Simplify right side
    332,105.06x = 201,126,854,489.10
  5. Step 5: Solve for x
    x = 201,126,854,489.10/332,105.06
  6. Step 6: Final answer
    x = 605,612.13

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.