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Finding the Third Proportional to 344,034 and 729,864

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Solution

The third proportional to 344,034 and 729,864 is: 1,548,397.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,034 : 729,864 = 729,864 : x
  2. Step 2: Convert to fraction form
    344,034/729,864 = 729,864/x
  3. Step 3: Cross multiply
    344,034x = 729,864 × 729,864
  4. Step 4: Simplify right side
    344,034x = 532,701,458,496
  5. Step 5: Solve for x
    x = 532,701,458,496/344,034
  6. Step 6: Final answer
    x = 1,548,397.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.