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Finding the Third Proportional to 340,944 and 717,832

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Solution

The third proportional to 340,944 and 717,832 is: 1,511,341.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,944 : 717,832 = 717,832 : x
  2. Step 2: Convert to fraction form
    340,944/717,832 = 717,832/x
  3. Step 3: Cross multiply
    340,944x = 717,832 × 717,832
  4. Step 4: Simplify right side
    340,944x = 515,282,780,224
  5. Step 5: Solve for x
    x = 515,282,780,224/340,944
  6. Step 6: Final answer
    x = 1,511,341.39

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.