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Finding the Third Proportional to 538,647.19 and 814,395.38

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Solution

The third proportional to 538,647.19 and 814,395.38 is: 1,231,306.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,647.19 : 814,395.38 = 814,395.38 : x
  2. Step 2: Convert to fraction form
    538,647.19/814,395.38 = 814,395.38/x
  3. Step 3: Cross multiply
    538,647.19x = 814,395.38 × 814,395.38
  4. Step 4: Simplify right side
    538,647.19x = 663,239,826,821.39
  5. Step 5: Solve for x
    x = 663,239,826,821.39/538,647.19
  6. Step 6: Final answer
    x = 1,231,306.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.