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Finding the Third Proportional to 344,011 and 729,818

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Solution

The third proportional to 344,011 and 729,818 is: 1,548,306.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,011 : 729,818 = 729,818 : x
  2. Step 2: Convert to fraction form
    344,011/729,818 = 729,818/x
  3. Step 3: Cross multiply
    344,011x = 729,818 × 729,818
  4. Step 4: Simplify right side
    344,011x = 532,634,313,124
  5. Step 5: Solve for x
    x = 532,634,313,124/344,011
  6. Step 6: Final answer
    x = 1,548,306.05

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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.