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Finding the Third Proportional to 252,541 and 561,132

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Solution

The third proportional to 252,541 and 561,132 is: 1,246,803.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,541 : 561,132 = 561,132 : x
  2. Step 2: Convert to fraction form
    252,541/561,132 = 561,132/x
  3. Step 3: Cross multiply
    252,541x = 561,132 × 561,132
  4. Step 4: Simplify right side
    252,541x = 314,869,121,424
  5. Step 5: Solve for x
    x = 314,869,121,424/252,541
  6. Step 6: Final answer
    x = 1,246,803.97

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.