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Finding the Third Proportional to 596.50 and 876.50

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Solution

The third proportional to 596.50 and 876.50 is: 1,287.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.50 : 876.50 = 876.50 : x
  2. Step 2: Convert to fraction form
    596.50/876.50 = 876.50/x
  3. Step 3: Cross multiply
    596.50x = 876.50 × 876.50
  4. Step 4: Simplify right side
    596.50x = 768,252.25
  5. Step 5: Solve for x
    x = 768,252.25/596.50
  6. Step 6: Final answer
    x = 1,287.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.