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Finding the Third Proportional to 406,873.13 and 619,786.69

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Solution

The third proportional to 406,873.13 and 619,786.69 is: 944,116.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,873.13 : 619,786.69 = 619,786.69 : x
  2. Step 2: Convert to fraction form
    406,873.13/619,786.69 = 619,786.69/x
  3. Step 3: Cross multiply
    406,873.13x = 619,786.69 × 619,786.69
  4. Step 4: Simplify right side
    406,873.13x = 384,135,538,002.22
  5. Step 5: Solve for x
    x = 384,135,538,002.22/406,873.13
  6. Step 6: Final answer
    x = 944,116.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.