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Finding the Third Proportional to 565.88 and 946.69

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Solution

The third proportional to 565.88 and 946.69 is: 1,583.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.88 : 946.69 = 946.69 : x
  2. Step 2: Convert to fraction form
    565.88/946.69 = 946.69/x
  3. Step 3: Cross multiply
    565.88x = 946.69 × 946.69
  4. Step 4: Simplify right side
    565.88x = 896,217.22
  5. Step 5: Solve for x
    x = 896,217.22/565.88
  6. Step 6: Final answer
    x = 1,583.77

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.