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Finding the Third Proportional to 563.20 and 1,315.41

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Solution

The third proportional to 563.20 and 1,315.41 is: 3,072.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.20 : 1,315.41 = 1,315.41 : x
  2. Step 2: Convert to fraction form
    563.20/1,315.41 = 1,315.41/x
  3. Step 3: Cross multiply
    563.20x = 1,315.41 × 1,315.41
  4. Step 4: Simplify right side
    563.20x = 1,730,293.60
  5. Step 5: Solve for x
    x = 1,730,293.60/563.20
  6. Step 6: Final answer
    x = 3,072.24

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.