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Finding the Third Proportional to 252,382 and 555,974

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Solution

The third proportional to 252,382 and 555,974 is: 1,224,758.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,382 : 555,974 = 555,974 : x
  2. Step 2: Convert to fraction form
    252,382/555,974 = 555,974/x
  3. Step 3: Cross multiply
    252,382x = 555,974 × 555,974
  4. Step 4: Simplify right side
    252,382x = 309,107,088,676
  5. Step 5: Solve for x
    x = 309,107,088,676/252,382
  6. Step 6: Final answer
    x = 1,224,758.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.