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Finding the Third Proportional to 336.09 and 566.86

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Solution

The third proportional to 336.09 and 566.86 is: 956.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.09 : 566.86 = 566.86 : x
  2. Step 2: Convert to fraction form
    336.09/566.86 = 566.86/x
  3. Step 3: Cross multiply
    336.09x = 566.86 × 566.86
  4. Step 4: Simplify right side
    336.09x = 321,329.55
  5. Step 5: Solve for x
    x = 321,329.55/336.09
  6. Step 6: Final answer
    x = 956.07

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.