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Finding the Third Proportional to 565.50 and 1,232.63

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Solution

The third proportional to 565.50 and 1,232.63 is: 2,686.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.50 : 1,232.63 = 1,232.63 : x
  2. Step 2: Convert to fraction form
    565.50/1,232.63 = 1,232.63/x
  3. Step 3: Cross multiply
    565.50x = 1,232.63 × 1,232.63
  4. Step 4: Simplify right side
    565.50x = 1,519,364.39
  5. Step 5: Solve for x
    x = 1,519,364.39/565.50
  6. Step 6: Final answer
    x = 2,686.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.