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Finding the Third Proportional to 614,045.81 and 942,517.27

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Solution

The third proportional to 614,045.81 and 942,517.27 is: 1,446,697.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,045.81 : 942,517.27 = 942,517.27 : x
  2. Step 2: Convert to fraction form
    614,045.81/942,517.27 = 942,517.27/x
  3. Step 3: Cross multiply
    614,045.81x = 942,517.27 × 942,517.27
  4. Step 4: Simplify right side
    614,045.81x = 888,338,796,001.23
  5. Step 5: Solve for x
    x = 888,338,796,001.23/614,045.81
  6. Step 6: Final answer
    x = 1,446,697.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.