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Finding the Third Proportional to 252,648 and 540,302

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Solution

The third proportional to 252,648 and 540,302 is: 1,155,466.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,648 : 540,302 = 540,302 : x
  2. Step 2: Convert to fraction form
    252,648/540,302 = 540,302/x
  3. Step 3: Cross multiply
    252,648x = 540,302 × 540,302
  4. Step 4: Simplify right side
    252,648x = 291,926,251,204
  5. Step 5: Solve for x
    x = 291,926,251,204/252,648
  6. Step 6: Final answer
    x = 1,155,466.31

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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.