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Finding the Third Proportional to 218,250 and 469,872

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Solution

The third proportional to 218,250 and 469,872 is: 1,011,590.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,250 : 469,872 = 469,872 : x
  2. Step 2: Convert to fraction form
    218,250/469,872 = 469,872/x
  3. Step 3: Cross multiply
    218,250x = 469,872 × 469,872
  4. Step 4: Simplify right side
    218,250x = 220,779,696,384
  5. Step 5: Solve for x
    x = 220,779,696,384/218,250
  6. Step 6: Final answer
    x = 1,011,590.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.