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Finding the Third Proportional to 213,574.13 and 469,781.25

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Solution

The third proportional to 213,574.13 and 469,781.25 is: 1,033,338.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,574.13 : 469,781.25 = 469,781.25 : x
  2. Step 2: Convert to fraction form
    213,574.13/469,781.25 = 469,781.25/x
  3. Step 3: Cross multiply
    213,574.13x = 469,781.25 × 469,781.25
  4. Step 4: Simplify right side
    213,574.13x = 220,694,422,851.56
  5. Step 5: Solve for x
    x = 220,694,422,851.56/213,574.13
  6. Step 6: Final answer
    x = 1,033,338.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.