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Finding the Third Proportional to 222,590 and 487,624

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Solution

The third proportional to 222,590 and 487,624 is: 1,068,229.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,590 : 487,624 = 487,624 : x
  2. Step 2: Convert to fraction form
    222,590/487,624 = 487,624/x
  3. Step 3: Cross multiply
    222,590x = 487,624 × 487,624
  4. Step 4: Simplify right side
    222,590x = 237,777,165,376
  5. Step 5: Solve for x
    x = 237,777,165,376/222,590
  6. Step 6: Final answer
    x = 1,068,229.32

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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.