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Finding the Third Proportional to 734.06 and 1,604.81

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Solution

The third proportional to 734.06 and 1,604.81 is: 3,508.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.06 : 1,604.81 = 1,604.81 : x
  2. Step 2: Convert to fraction form
    734.06/1,604.81 = 1,604.81/x
  3. Step 3: Cross multiply
    734.06x = 1,604.81 × 1,604.81
  4. Step 4: Simplify right side
    734.06x = 2,575,423.16
  5. Step 5: Solve for x
    x = 2,575,423.16/734.06
  6. Step 6: Final answer
    x = 3,508.45

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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.