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Finding the Third Proportional to 218,228 and 469,657

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Solution

The third proportional to 218,228 and 469,657 is: 1,010,767.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,228 : 469,657 = 469,657 : x
  2. Step 2: Convert to fraction form
    218,228/469,657 = 469,657/x
  3. Step 3: Cross multiply
    218,228x = 469,657 × 469,657
  4. Step 4: Simplify right side
    218,228x = 220,577,697,649
  5. Step 5: Solve for x
    x = 220,577,697,649/218,228
  6. Step 6: Final answer
    x = 1,010,767.17

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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.