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Finding the Third Proportional to 526.88 and 758.88

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Solution

The third proportional to 526.88 and 758.88 is: 1,093.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.88 : 758.88 = 758.88 : x
  2. Step 2: Convert to fraction form
    526.88/758.88 = 758.88/x
  3. Step 3: Cross multiply
    526.88x = 758.88 × 758.88
  4. Step 4: Simplify right side
    526.88x = 575,891.27
  5. Step 5: Solve for x
    x = 575,891.27/526.88
  6. Step 6: Final answer
    x = 1,093.03

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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.