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Finding the Third Proportional to 703.83 and 1,534.22

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Solution

The third proportional to 703.83 and 1,534.22 is: 3,344.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.83 : 1,534.22 = 1,534.22 : x
  2. Step 2: Convert to fraction form
    703.83/1,534.22 = 1,534.22/x
  3. Step 3: Cross multiply
    703.83x = 1,534.22 × 1,534.22
  4. Step 4: Simplify right side
    703.83x = 2,353,827.17
  5. Step 5: Solve for x
    x = 2,353,827.17/703.83
  6. Step 6: Final answer
    x = 3,344.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.