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Finding the Third Proportional to 538,923.38 and 845,412.19

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Solution

The third proportional to 538,923.38 and 845,412.19 is: 1,326,202.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,923.38 : 845,412.19 = 845,412.19 : x
  2. Step 2: Convert to fraction form
    538,923.38/845,412.19 = 845,412.19/x
  3. Step 3: Cross multiply
    538,923.38x = 845,412.19 × 845,412.19
  4. Step 4: Simplify right side
    538,923.38x = 714,721,766,773.54
  5. Step 5: Solve for x
    x = 714,721,766,773.54/538,923.38
  6. Step 6: Final answer
    x = 1,326,202.94

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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.