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Finding the Third Proportional to 429.94 and 645.47

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Solution

The third proportional to 429.94 and 645.47 is: 969.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.94 : 645.47 = 645.47 : x
  2. Step 2: Convert to fraction form
    429.94/645.47 = 645.47/x
  3. Step 3: Cross multiply
    429.94x = 645.47 × 645.47
  4. Step 4: Simplify right side
    429.94x = 416,629.91
  5. Step 5: Solve for x
    x = 416,629.91/429.94
  6. Step 6: Final answer
    x = 969.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.