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Finding the Third Proportional to 736.38 and 1,602.91

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Solution

The third proportional to 736.38 and 1,602.91 is: 3,489.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.38 : 1,602.91 = 1,602.91 : x
  2. Step 2: Convert to fraction form
    736.38/1,602.91 = 1,602.91/x
  3. Step 3: Cross multiply
    736.38x = 1,602.91 × 1,602.91
  4. Step 4: Simplify right side
    736.38x = 2,569,333.49
  5. Step 5: Solve for x
    x = 2,569,333.49/736.38
  6. Step 6: Final answer
    x = 3,489.13

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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.