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Finding the Third Proportional to 226,658 and 488,452

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Solution

The third proportional to 226,658 and 488,452 is: 1,052,622.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,658 : 488,452 = 488,452 : x
  2. Step 2: Convert to fraction form
    226,658/488,452 = 488,452/x
  3. Step 3: Cross multiply
    226,658x = 488,452 × 488,452
  4. Step 4: Simplify right side
    226,658x = 238,585,356,304
  5. Step 5: Solve for x
    x = 238,585,356,304/226,658
  6. Step 6: Final answer
    x = 1,052,622.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.