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Finding the Third Proportional to 252,512 and 584,624

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Solution

The third proportional to 252,512 and 584,624 is: 1,353,540.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,512 : 584,624 = 584,624 : x
  2. Step 2: Convert to fraction form
    252,512/584,624 = 584,624/x
  3. Step 3: Cross multiply
    252,512x = 584,624 × 584,624
  4. Step 4: Simplify right side
    252,512x = 341,785,221,376
  5. Step 5: Solve for x
    x = 341,785,221,376/252,512
  6. Step 6: Final answer
    x = 1,353,540.51

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.