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Finding the Third Proportional to 563.06 and 846.84

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Solution

The third proportional to 563.06 and 846.84 is: 1,273.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.06 : 846.84 = 846.84 : x
  2. Step 2: Convert to fraction form
    563.06/846.84 = 846.84/x
  3. Step 3: Cross multiply
    563.06x = 846.84 × 846.84
  4. Step 4: Simplify right side
    563.06x = 717,144.34
  5. Step 5: Solve for x
    x = 717,144.34/563.06
  6. Step 6: Final answer
    x = 1,273.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.