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Finding the Third Proportional to 252,416 and 550,516

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Solution

The third proportional to 252,416 and 550,516 is: 1,200,668.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,416 : 550,516 = 550,516 : x
  2. Step 2: Convert to fraction form
    252,416/550,516 = 550,516/x
  3. Step 3: Cross multiply
    252,416x = 550,516 × 550,516
  4. Step 4: Simplify right side
    252,416x = 303,067,866,256
  5. Step 5: Solve for x
    x = 303,067,866,256/252,416
  6. Step 6: Final answer
    x = 1,200,668.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.