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Finding the Third Proportional to 316,940.77 and 704,746.41

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Solution

The third proportional to 316,940.77 and 704,746.41 is: 1,567,067.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,940.77 : 704,746.41 = 704,746.41 : x
  2. Step 2: Convert to fraction form
    316,940.77/704,746.41 = 704,746.41/x
  3. Step 3: Cross multiply
    316,940.77x = 704,746.41 × 704,746.41
  4. Step 4: Simplify right side
    316,940.77x = 496,667,497,122.29
  5. Step 5: Solve for x
    x = 496,667,497,122.29/316,940.77
  6. Step 6: Final answer
    x = 1,567,067.26

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.