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Finding the Third Proportional to 252,218.25 and 527,805

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Solution

The third proportional to 252,218.25 and 527,805 is: 1,104,512.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,218.25 : 527,805 = 527,805 : x
  2. Step 2: Convert to fraction form
    252,218.25/527,805 = 527,805/x
  3. Step 3: Cross multiply
    252,218.25x = 527,805 × 527,805
  4. Step 4: Simplify right side
    252,218.25x = 278,578,118,025
  5. Step 5: Solve for x
    x = 278,578,118,025/252,218.25
  6. Step 6: Final answer
    x = 1,104,512.14

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.