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Finding the Third Proportional to 323,086 and 704,922

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Solution

The third proportional to 323,086 and 704,922 is: 1,538,027.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,086 : 704,922 = 704,922 : x
  2. Step 2: Convert to fraction form
    323,086/704,922 = 704,922/x
  3. Step 3: Cross multiply
    323,086x = 704,922 × 704,922
  4. Step 4: Simplify right side
    323,086x = 496,915,026,084
  5. Step 5: Solve for x
    x = 496,915,026,084/323,086
  6. Step 6: Final answer
    x = 1,538,027.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.