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Finding the Third Proportional to 252,533 and 561,121

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Solution

The third proportional to 252,533 and 561,121 is: 1,246,794.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,533 : 561,121 = 561,121 : x
  2. Step 2: Convert to fraction form
    252,533/561,121 = 561,121/x
  3. Step 3: Cross multiply
    252,533x = 561,121 × 561,121
  4. Step 4: Simplify right side
    252,533x = 314,856,776,641
  5. Step 5: Solve for x
    x = 314,856,776,641/252,533
  6. Step 6: Final answer
    x = 1,246,794.58

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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.