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Finding the Third Proportional to 405.32 and 961.56

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Solution

The third proportional to 405.32 and 961.56 is: 2,281.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.32 : 961.56 = 961.56 : x
  2. Step 2: Convert to fraction form
    405.32/961.56 = 961.56/x
  3. Step 3: Cross multiply
    405.32x = 961.56 × 961.56
  4. Step 4: Simplify right side
    405.32x = 924,594.93
  5. Step 5: Solve for x
    x = 924,594.93/405.32
  6. Step 6: Final answer
    x = 2,281.17

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.