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Finding the Third Proportional to 211,249.13 and 469,726.31

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Solution

The third proportional to 211,249.13 and 469,726.31 is: 1,044,467.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,249.13 : 469,726.31 = 469,726.31 : x
  2. Step 2: Convert to fraction form
    211,249.13/469,726.31 = 469,726.31/x
  3. Step 3: Cross multiply
    211,249.13x = 469,726.31 × 469,726.31
  4. Step 4: Simplify right side
    211,249.13x = 220,642,808,654.85
  5. Step 5: Solve for x
    x = 220,642,808,654.85/211,249.13
  6. Step 6: Final answer
    x = 1,044,467.33

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.