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Finding the Third Proportional to 223,076 and 486,207

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Solution

The third proportional to 223,076 and 486,207 is: 1,059,716.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,076 : 486,207 = 486,207 : x
  2. Step 2: Convert to fraction form
    223,076/486,207 = 486,207/x
  3. Step 3: Cross multiply
    223,076x = 486,207 × 486,207
  4. Step 4: Simplify right side
    223,076x = 236,397,246,849
  5. Step 5: Solve for x
    x = 236,397,246,849/223,076
  6. Step 6: Final answer
    x = 1,059,716.18

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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.