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Finding the Third Proportional to 563 and 767.50

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Solution

The third proportional to 563 and 767.50 is: 1,046.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    563 : 767.50 = 767.50 : x
  2. Step 2: Convert to fraction form
    563/767.50 = 767.50/x
  3. Step 3: Cross multiply
    563x = 767.50 × 767.50
  4. Step 4: Simplify right side
    563x = 589,056.25
  5. Step 5: Solve for x
    x = 589,056.25/563
  6. Step 6: Final answer
    x = 1,046.28

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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.