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Finding the Third Proportional to 223,352 and 486,098

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Solution

The third proportional to 223,352 and 486,098 is: 1,057,932.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,352 : 486,098 = 486,098 : x
  2. Step 2: Convert to fraction form
    223,352/486,098 = 486,098/x
  3. Step 3: Cross multiply
    223,352x = 486,098 × 486,098
  4. Step 4: Simplify right side
    223,352x = 236,291,265,604
  5. Step 5: Solve for x
    x = 236,291,265,604/223,352
  6. Step 6: Final answer
    x = 1,057,932.17

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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.