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Finding the Third Proportional to 344,434 and 729,842

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Solution

The third proportional to 344,434 and 729,842 is: 1,546,506.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,434 : 729,842 = 729,842 : x
  2. Step 2: Convert to fraction form
    344,434/729,842 = 729,842/x
  3. Step 3: Cross multiply
    344,434x = 729,842 × 729,842
  4. Step 4: Simplify right side
    344,434x = 532,669,344,964
  5. Step 5: Solve for x
    x = 532,669,344,964/344,434
  6. Step 6: Final answer
    x = 1,546,506.28

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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.