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Finding the Third Proportional to 223,490 and 488,452

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Solution

The third proportional to 223,490 and 488,452 is: 1,067,543.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,490 : 488,452 = 488,452 : x
  2. Step 2: Convert to fraction form
    223,490/488,452 = 488,452/x
  3. Step 3: Cross multiply
    223,490x = 488,452 × 488,452
  4. Step 4: Simplify right side
    223,490x = 238,585,356,304
  5. Step 5: Solve for x
    x = 238,585,356,304/223,490
  6. Step 6: Final answer
    x = 1,067,543.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.