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Finding the Third Proportional to 252,423 and 552,366

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Solution

The third proportional to 252,423 and 552,366 is: 1,208,717.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,423 : 552,366 = 552,366 : x
  2. Step 2: Convert to fraction form
    252,423/552,366 = 552,366/x
  3. Step 3: Cross multiply
    252,423x = 552,366 × 552,366
  4. Step 4: Simplify right side
    252,423x = 305,108,197,956
  5. Step 5: Solve for x
    x = 305,108,197,956/252,423
  6. Step 6: Final answer
    x = 1,208,717.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.