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Finding the Third Proportional to 349,249 and 767,079

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Solution

The third proportional to 349,249 and 767,079 is: 1,684,787.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,249 : 767,079 = 767,079 : x
  2. Step 2: Convert to fraction form
    349,249/767,079 = 767,079/x
  3. Step 3: Cross multiply
    349,249x = 767,079 × 767,079
  4. Step 4: Simplify right side
    349,249x = 588,410,192,241
  5. Step 5: Solve for x
    x = 588,410,192,241/349,249
  6. Step 6: Final answer
    x = 1,684,787.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.