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Finding the Third Proportional to 252,498 and 540,463.88

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Solution

The third proportional to 252,498 and 540,463.88 is: 1,156,845.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,498 : 540,463.88 = 540,463.88 : x
  2. Step 2: Convert to fraction form
    252,498/540,463.88 = 540,463.88/x
  3. Step 3: Cross multiply
    252,498x = 540,463.88 × 540,463.88
  4. Step 4: Simplify right side
    252,498x = 292,101,200,180.02
  5. Step 5: Solve for x
    x = 292,101,200,180.02/252,498
  6. Step 6: Final answer
    x = 1,156,845.60

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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.