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Finding the Third Proportional to 344,049 and 729,894

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Solution

The third proportional to 344,049 and 729,894 is: 1,548,457.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,049 : 729,894 = 729,894 : x
  2. Step 2: Convert to fraction form
    344,049/729,894 = 729,894/x
  3. Step 3: Cross multiply
    344,049x = 729,894 × 729,894
  4. Step 4: Simplify right side
    344,049x = 532,745,251,236
  5. Step 5: Solve for x
    x = 532,745,251,236/344,049
  6. Step 6: Final answer
    x = 1,548,457.49

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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.