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Finding the Third Proportional to 213,574.31 and 469,781.63

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Solution

The third proportional to 213,574.31 and 469,781.63 is: 1,033,339.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,574.31 : 469,781.63 = 469,781.63 : x
  2. Step 2: Convert to fraction form
    213,574.31/469,781.63 = 469,781.63/x
  3. Step 3: Cross multiply
    213,574.31x = 469,781.63 × 469,781.63
  4. Step 4: Simplify right side
    213,574.31x = 220,694,775,187.64
  5. Step 5: Solve for x
    x = 220,694,775,187.64/213,574.31
  6. Step 6: Final answer
    x = 1,033,339.51

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