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Finding the Third Proportional to 503.16 and 736.69

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Solution

The third proportional to 503.16 and 736.69 is: 1,078.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.16 : 736.69 = 736.69 : x
  2. Step 2: Convert to fraction form
    503.16/736.69 = 736.69/x
  3. Step 3: Cross multiply
    503.16x = 736.69 × 736.69
  4. Step 4: Simplify right side
    503.16x = 542,708.47
  5. Step 5: Solve for x
    x = 542,708.47/503.16
  6. Step 6: Final answer
    x = 1,078.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.