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Finding the Third Proportional to 415,265.06 and 888,112.69

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Solution

The third proportional to 415,265.06 and 888,112.69 is: 1,899,375.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,265.06 : 888,112.69 = 888,112.69 : x
  2. Step 2: Convert to fraction form
    415,265.06/888,112.69 = 888,112.69/x
  3. Step 3: Cross multiply
    415,265.06x = 888,112.69 × 888,112.69
  4. Step 4: Simplify right side
    415,265.06x = 788,744,145,698.47
  5. Step 5: Solve for x
    x = 788,744,145,698.47/415,265.06
  6. Step 6: Final answer
    x = 1,899,375.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.