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Finding the Third Proportional to 223,461 and 486,231

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Solution

The third proportional to 223,461 and 486,231 is: 1,057,994.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,461 : 486,231 = 486,231 : x
  2. Step 2: Convert to fraction form
    223,461/486,231 = 486,231/x
  3. Step 3: Cross multiply
    223,461x = 486,231 × 486,231
  4. Step 4: Simplify right side
    223,461x = 236,420,585,361
  5. Step 5: Solve for x
    x = 236,420,585,361/223,461
  6. Step 6: Final answer
    x = 1,057,994.84

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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.