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Finding the Third Proportional to 349,084 and 753,864

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Solution

The third proportional to 349,084 and 753,864 is: 1,628,006.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,084 : 753,864 = 753,864 : x
  2. Step 2: Convert to fraction form
    349,084/753,864 = 753,864/x
  3. Step 3: Cross multiply
    349,084x = 753,864 × 753,864
  4. Step 4: Simplify right side
    349,084x = 568,310,930,496
  5. Step 5: Solve for x
    x = 568,310,930,496/349,084
  6. Step 6: Final answer
    x = 1,628,006.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.