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Finding the Third Proportional to 767,233.13 and 1,278,667.13

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Solution

The third proportional to 767,233.13 and 1,278,667.13 is: 2,131,020.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,233.13 : 1,278,667.13 = 1,278,667.13 : x
  2. Step 2: Convert to fraction form
    767,233.13/1,278,667.13 = 1,278,667.13/x
  3. Step 3: Cross multiply
    767,233.13x = 1,278,667.13 × 1,278,667.13
  4. Step 4: Simplify right side
    767,233.13x = 1,634,989,616,555.77
  5. Step 5: Solve for x
    x = 1,634,989,616,555.77/767,233.13
  6. Step 6: Final answer
    x = 2,131,020.63

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.