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Finding the Third Proportional to 336.30 and 725.77

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Solution

The third proportional to 336.30 and 725.77 is: 1,566.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.30 : 725.77 = 725.77 : x
  2. Step 2: Convert to fraction form
    336.30/725.77 = 725.77/x
  3. Step 3: Cross multiply
    336.30x = 725.77 × 725.77
  4. Step 4: Simplify right side
    336.30x = 526,735.74
  5. Step 5: Solve for x
    x = 526,735.74/336.30
  6. Step 6: Final answer
    x = 1,566.25

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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.