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Finding the Third Proportional to 565.25 and 623.75

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Solution

The third proportional to 565.25 and 623.75 is: 688.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.25 : 623.75 = 623.75 : x
  2. Step 2: Convert to fraction form
    565.25/623.75 = 623.75/x
  3. Step 3: Cross multiply
    565.25x = 623.75 × 623.75
  4. Step 4: Simplify right side
    565.25x = 389,064.06
  5. Step 5: Solve for x
    x = 389,064.06/565.25
  6. Step 6: Final answer
    x = 688.30

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.