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Finding the Third Proportional to 218,649 and 470,850

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Solution

The third proportional to 218,649 and 470,850 is: 1,013,952.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,649 : 470,850 = 470,850 : x
  2. Step 2: Convert to fraction form
    218,649/470,850 = 470,850/x
  3. Step 3: Cross multiply
    218,649x = 470,850 × 470,850
  4. Step 4: Simplify right side
    218,649x = 221,699,722,500
  5. Step 5: Solve for x
    x = 221,699,722,500/218,649
  6. Step 6: Final answer
    x = 1,013,952.60

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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.