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Finding the Third Proportional to 252,677.25 and 552,831

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Solution

The third proportional to 252,677.25 and 552,831 is: 1,209,535.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,677.25 : 552,831 = 552,831 : x
  2. Step 2: Convert to fraction form
    252,677.25/552,831 = 552,831/x
  3. Step 3: Cross multiply
    252,677.25x = 552,831 × 552,831
  4. Step 4: Simplify right side
    252,677.25x = 305,622,114,561
  5. Step 5: Solve for x
    x = 305,622,114,561/252,677.25
  6. Step 6: Final answer
    x = 1,209,535.54

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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.