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Finding the Third Proportional to 405.79 and 854.30

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Solution

The third proportional to 405.79 and 854.30 is: 1,798.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.79 : 854.30 = 854.30 : x
  2. Step 2: Convert to fraction form
    405.79/854.30 = 854.30/x
  3. Step 3: Cross multiply
    405.79x = 854.30 × 854.30
  4. Step 4: Simplify right side
    405.79x = 729,823.15
  5. Step 5: Solve for x
    x = 729,823.15/405.79
  6. Step 6: Final answer
    x = 1,798.52

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.