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Finding the Third Proportional to 563.06 and 753.19

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Solution

The third proportional to 563.06 and 753.19 is: 1,007.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.06 : 753.19 = 753.19 : x
  2. Step 2: Convert to fraction form
    563.06/753.19 = 753.19/x
  3. Step 3: Cross multiply
    563.06x = 753.19 × 753.19
  4. Step 4: Simplify right side
    563.06x = 567,291.41
  5. Step 5: Solve for x
    x = 567,291.41/563.06
  6. Step 6: Final answer
    x = 1,007.51

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.