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Finding the Third Proportional to 481,801.50 and 1,049,382

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Solution

The third proportional to 481,801.50 and 1,049,382 is: 2,285,593.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,801.50 : 1,049,382 = 1,049,382 : x
  2. Step 2: Convert to fraction form
    481,801.50/1,049,382 = 1,049,382/x
  3. Step 3: Cross multiply
    481,801.50x = 1,049,382 × 1,049,382
  4. Step 4: Simplify right side
    481,801.50x = 1,101,202,581,924
  5. Step 5: Solve for x
    x = 1,101,202,581,924/481,801.50
  6. Step 6: Final answer
    x = 2,285,593.93

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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.