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Finding the Third Proportional to 703.78 and 913.22

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Solution

The third proportional to 703.78 and 913.22 is: 1,184.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.78 : 913.22 = 913.22 : x
  2. Step 2: Convert to fraction form
    703.78/913.22 = 913.22/x
  3. Step 3: Cross multiply
    703.78x = 913.22 × 913.22
  4. Step 4: Simplify right side
    703.78x = 833,968.49
  5. Step 5: Solve for x
    x = 833,968.49/703.78
  6. Step 6: Final answer
    x = 1,184.98

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.