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Finding the Third Proportional to 538,930.97 and 845,424.84

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Solution

The third proportional to 538,930.97 and 845,424.84 is: 1,326,223.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,930.97 : 845,424.84 = 845,424.84 : x
  2. Step 2: Convert to fraction form
    538,930.97/845,424.84 = 845,424.84/x
  3. Step 3: Cross multiply
    538,930.97x = 845,424.84 × 845,424.84
  4. Step 4: Simplify right side
    538,930.97x = 714,743,166,429.71
  5. Step 5: Solve for x
    x = 714,743,166,429.71/538,930.97
  6. Step 6: Final answer
    x = 1,326,223.97

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.