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Finding the Third Proportional to 349,874 and 766,996

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Solution

The third proportional to 349,874 and 766,996 is: 1,681,413.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,874 : 766,996 = 766,996 : x
  2. Step 2: Convert to fraction form
    349,874/766,996 = 766,996/x
  3. Step 3: Cross multiply
    349,874x = 766,996 × 766,996
  4. Step 4: Simplify right side
    349,874x = 588,282,864,016
  5. Step 5: Solve for x
    x = 588,282,864,016/349,874
  6. Step 6: Final answer
    x = 1,681,413.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.