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Finding the Third Proportional to 341,917 and 741,789

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Solution

The third proportional to 341,917 and 741,789 is: 1,609,311.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,917 : 741,789 = 741,789 : x
  2. Step 2: Convert to fraction form
    341,917/741,789 = 741,789/x
  3. Step 3: Cross multiply
    341,917x = 741,789 × 741,789
  4. Step 4: Simplify right side
    341,917x = 550,250,920,521
  5. Step 5: Solve for x
    x = 550,250,920,521/341,917
  6. Step 6: Final answer
    x = 1,609,311.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.