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Finding the Third Proportional to 252,814 and 540,620

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Solution

The third proportional to 252,814 and 540,620 is: 1,156,067.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,814 : 540,620 = 540,620 : x
  2. Step 2: Convert to fraction form
    252,814/540,620 = 540,620/x
  3. Step 3: Cross multiply
    252,814x = 540,620 × 540,620
  4. Step 4: Simplify right side
    252,814x = 292,269,984,400
  5. Step 5: Solve for x
    x = 292,269,984,400/252,814
  6. Step 6: Final answer
    x = 1,156,067.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.