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Finding the Third Proportional to 633.19 and 929.44

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Solution

The third proportional to 633.19 and 929.44 is: 1,364.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.19 : 929.44 = 929.44 : x
  2. Step 2: Convert to fraction form
    633.19/929.44 = 929.44/x
  3. Step 3: Cross multiply
    633.19x = 929.44 × 929.44
  4. Step 4: Simplify right side
    633.19x = 863,854.07
  5. Step 5: Solve for x
    x = 863,854.07/633.19
  6. Step 6: Final answer
    x = 1,364.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.