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Finding the Third Proportional to 512,992.41 and 766,617.33

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Solution

The third proportional to 512,992.41 and 766,617.33 is: 1,145,635.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,992.41 : 766,617.33 = 766,617.33 : x
  2. Step 2: Convert to fraction form
    512,992.41/766,617.33 = 766,617.33/x
  3. Step 3: Cross multiply
    512,992.41x = 766,617.33 × 766,617.33
  4. Step 4: Simplify right side
    512,992.41x = 587,702,127,781.51
  5. Step 5: Solve for x
    x = 587,702,127,781.51/512,992.41
  6. Step 6: Final answer
    x = 1,145,635.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.