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Finding the Third Proportional to 565.75 and 750.88

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Solution

The third proportional to 565.75 and 750.88 is: 996.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.75 : 750.88 = 750.88 : x
  2. Step 2: Convert to fraction form
    565.75/750.88 = 750.88/x
  3. Step 3: Cross multiply
    565.75x = 750.88 × 750.88
  4. Step 4: Simplify right side
    565.75x = 563,813.27
  5. Step 5: Solve for x
    x = 563,813.27/565.75
  6. Step 6: Final answer
    x = 996.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.