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Finding the Third Proportional to 252,584 and 552,736

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Solution

The third proportional to 252,584 and 552,736 is: 1,209,566.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,584 : 552,736 = 552,736 : x
  2. Step 2: Convert to fraction form
    252,584/552,736 = 552,736/x
  3. Step 3: Cross multiply
    252,584x = 552,736 × 552,736
  4. Step 4: Simplify right side
    252,584x = 305,517,085,696
  5. Step 5: Solve for x
    x = 305,517,085,696/252,584
  6. Step 6: Final answer
    x = 1,209,566.27

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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.