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Finding the Third Proportional to 215,251.88 and 469,844.63

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Solution

The third proportional to 215,251.88 and 469,844.63 is: 1,025,561.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,251.88 : 469,844.63 = 469,844.63 : x
  2. Step 2: Convert to fraction form
    215,251.88/469,844.63 = 469,844.63/x
  3. Step 3: Cross multiply
    215,251.88x = 469,844.63 × 469,844.63
  4. Step 4: Simplify right side
    215,251.88x = 220,753,971,641.39
  5. Step 5: Solve for x
    x = 220,753,971,641.39/215,251.88
  6. Step 6: Final answer
    x = 1,025,561.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.