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Finding the Third Proportional to 783.50 and 1,175.25

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Solution

The third proportional to 783.50 and 1,175.25 is: 1,762.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.50 : 1,175.25 = 1,175.25 : x
  2. Step 2: Convert to fraction form
    783.50/1,175.25 = 1,175.25/x
  3. Step 3: Cross multiply
    783.50x = 1,175.25 × 1,175.25
  4. Step 4: Simplify right side
    783.50x = 1,381,212.56
  5. Step 5: Solve for x
    x = 1,381,212.56/783.50
  6. Step 6: Final answer
    x = 1,762.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.