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Finding the Third Proportional to 595.41 and 1,267.59

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Solution

The third proportional to 595.41 and 1,267.59 is: 2,698.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.41 : 1,267.59 = 1,267.59 : x
  2. Step 2: Convert to fraction form
    595.41/1,267.59 = 1,267.59/x
  3. Step 3: Cross multiply
    595.41x = 1,267.59 × 1,267.59
  4. Step 4: Simplify right side
    595.41x = 1,606,793.92
  5. Step 5: Solve for x
    x = 1,606,793.92/595.41
  6. Step 6: Final answer
    x = 2,698.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.