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Finding the Third Proportional to 740.39 and 1,598.48

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Solution

The third proportional to 740.39 and 1,598.48 is: 3,451.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.39 : 1,598.48 = 1,598.48 : x
  2. Step 2: Convert to fraction form
    740.39/1,598.48 = 1,598.48/x
  3. Step 3: Cross multiply
    740.39x = 1,598.48 × 1,598.48
  4. Step 4: Simplify right side
    740.39x = 2,555,152.30
  5. Step 5: Solve for x
    x = 2,555,152.30/740.39
  6. Step 6: Final answer
    x = 3,451.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.