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Finding the Third Proportional to 404,841.75 and 871,962.75

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Solution

The third proportional to 404,841.75 and 871,962.75 is: 1,878,064.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,841.75 : 871,962.75 = 871,962.75 : x
  2. Step 2: Convert to fraction form
    404,841.75/871,962.75 = 871,962.75/x
  3. Step 3: Cross multiply
    404,841.75x = 871,962.75 × 871,962.75
  4. Step 4: Simplify right side
    404,841.75x = 760,319,037,387.56
  5. Step 5: Solve for x
    x = 760,319,037,387.56/404,841.75
  6. Step 6: Final answer
    x = 1,878,064.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.