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Finding the Third Proportional to 332,106.75 and 515,656.13

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Solution

The third proportional to 332,106.75 and 515,656.13 is: 800,649.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,106.75 : 515,656.13 = 515,656.13 : x
  2. Step 2: Convert to fraction form
    332,106.75/515,656.13 = 515,656.13/x
  3. Step 3: Cross multiply
    332,106.75x = 515,656.13 × 515,656.13
  4. Step 4: Simplify right side
    332,106.75x = 265,901,239,250.02
  5. Step 5: Solve for x
    x = 265,901,239,250.02/332,106.75
  6. Step 6: Final answer
    x = 800,649.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.