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Finding the Third Proportional to 734.70 and 1,610.35

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Solution

The third proportional to 734.70 and 1,610.35 is: 3,529.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.70 : 1,610.35 = 1,610.35 : x
  2. Step 2: Convert to fraction form
    734.70/1,610.35 = 1,610.35/x
  3. Step 3: Cross multiply
    734.70x = 1,610.35 × 1,610.35
  4. Step 4: Simplify right side
    734.70x = 2,593,225.86
  5. Step 5: Solve for x
    x = 2,593,225.86/734.70
  6. Step 6: Final answer
    x = 3,529.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.