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Finding the Third Proportional to 252,382 and 512,180

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Solution

The third proportional to 252,382 and 512,180 is: 1,039,409.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,382 : 512,180 = 512,180 : x
  2. Step 2: Convert to fraction form
    252,382/512,180 = 512,180/x
  3. Step 3: Cross multiply
    252,382x = 512,180 × 512,180
  4. Step 4: Simplify right side
    252,382x = 262,328,352,400
  5. Step 5: Solve for x
    x = 262,328,352,400/252,382
  6. Step 6: Final answer
    x = 1,039,409.91

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.