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Finding the Third Proportional to 252,378 and 555,966

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Solution

The third proportional to 252,378 and 555,966 is: 1,224,743.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,378 : 555,966 = 555,966 : x
  2. Step 2: Convert to fraction form
    252,378/555,966 = 555,966/x
  3. Step 3: Cross multiply
    252,378x = 555,966 × 555,966
  4. Step 4: Simplify right side
    252,378x = 309,098,193,156
  5. Step 5: Solve for x
    x = 309,098,193,156/252,378
  6. Step 6: Final answer
    x = 1,224,743.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.