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Finding the Third Proportional to 252,517 and 540,500

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Solution

The third proportional to 252,517 and 540,500 is: 1,156,913.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,517 : 540,500 = 540,500 : x
  2. Step 2: Convert to fraction form
    252,517/540,500 = 540,500/x
  3. Step 3: Cross multiply
    252,517x = 540,500 × 540,500
  4. Step 4: Simplify right side
    252,517x = 292,140,250,000
  5. Step 5: Solve for x
    x = 292,140,250,000/252,517
  6. Step 6: Final answer
    x = 1,156,913.20

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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.