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Finding the Third Proportional to 252,696 and 552,868

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Solution

The third proportional to 252,696 and 552,868 is: 1,209,607.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,696 : 552,868 = 552,868 : x
  2. Step 2: Convert to fraction form
    252,696/552,868 = 552,868/x
  3. Step 3: Cross multiply
    252,696x = 552,868 × 552,868
  4. Step 4: Simplify right side
    252,696x = 305,663,025,424
  5. Step 5: Solve for x
    x = 305,663,025,424/252,696
  6. Step 6: Final answer
    x = 1,209,607.69

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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.