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Finding the Third Proportional to 703.50 and 954.56

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Solution

The third proportional to 703.50 and 954.56 is: 1,295.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.50 : 954.56 = 954.56 : x
  2. Step 2: Convert to fraction form
    703.50/954.56 = 954.56/x
  3. Step 3: Cross multiply
    703.50x = 954.56 × 954.56
  4. Step 4: Simplify right side
    703.50x = 911,189.57
  5. Step 5: Solve for x
    x = 911,189.57/703.50
  6. Step 6: Final answer
    x = 1,295.22

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.