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Finding the Third Proportional to 508,067.44 and 766,406.81

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Solution

The third proportional to 508,067.44 and 766,406.81 is: 1,156,105.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,067.44 : 766,406.81 = 766,406.81 : x
  2. Step 2: Convert to fraction form
    508,067.44/766,406.81 = 766,406.81/x
  3. Step 3: Cross multiply
    508,067.44x = 766,406.81 × 766,406.81
  4. Step 4: Simplify right side
    508,067.44x = 587,379,402,246.41
  5. Step 5: Solve for x
    x = 587,379,402,246.41/508,067.44
  6. Step 6: Final answer
    x = 1,156,105.19

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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.