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Finding the Third Proportional to 530.75 and 764.88

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Solution

The third proportional to 530.75 and 764.88 is: 1,102.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.75 : 764.88 = 764.88 : x
  2. Step 2: Convert to fraction form
    530.75/764.88 = 764.88/x
  3. Step 3: Cross multiply
    530.75x = 764.88 × 764.88
  4. Step 4: Simplify right side
    530.75x = 585,033.77
  5. Step 5: Solve for x
    x = 585,033.77/530.75
  6. Step 6: Final answer
    x = 1,102.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.