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Finding the Third Proportional to 595.87 and 906.62

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Solution

The third proportional to 595.87 and 906.62 is: 1,379.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.87 : 906.62 = 906.62 : x
  2. Step 2: Convert to fraction form
    595.87/906.62 = 906.62/x
  3. Step 3: Cross multiply
    595.87x = 906.62 × 906.62
  4. Step 4: Simplify right side
    595.87x = 821,964.46
  5. Step 5: Solve for x
    x = 821,964.46/595.87
  6. Step 6: Final answer
    x = 1,379.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.