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Finding the Third Proportional to 645 and 876.25

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Solution

The third proportional to 645 and 876.25 is: 1,190.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    645 : 876.25 = 876.25 : x
  2. Step 2: Convert to fraction form
    645/876.25 = 876.25/x
  3. Step 3: Cross multiply
    645x = 876.25 × 876.25
  4. Step 4: Simplify right side
    645x = 767,814.06
  5. Step 5: Solve for x
    x = 767,814.06/645
  6. Step 6: Final answer
    x = 1,190.41

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.