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Finding the Third Proportional to 252,548 and 561,150

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Solution

The third proportional to 252,548 and 561,150 is: 1,246,849.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,548 : 561,150 = 561,150 : x
  2. Step 2: Convert to fraction form
    252,548/561,150 = 561,150/x
  3. Step 3: Cross multiply
    252,548x = 561,150 × 561,150
  4. Step 4: Simplify right side
    252,548x = 314,889,322,500
  5. Step 5: Solve for x
    x = 314,889,322,500/252,548
  6. Step 6: Final answer
    x = 1,246,849.40

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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.