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Finding the Third Proportional to 595.87 and 1,282.51

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Solution

The third proportional to 595.87 and 1,282.51 is: 2,760.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.87 : 1,282.51 = 1,282.51 : x
  2. Step 2: Convert to fraction form
    595.87/1,282.51 = 1,282.51/x
  3. Step 3: Cross multiply
    595.87x = 1,282.51 × 1,282.51
  4. Step 4: Simplify right side
    595.87x = 1,644,840.07
  5. Step 5: Solve for x
    x = 1,644,840.07/595.87
  6. Step 6: Final answer
    x = 2,760.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.