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Finding the Third Proportional to 423.84 and 732.94

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Solution

The third proportional to 423.84 and 732.94 is: 1,267.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.84 : 732.94 = 732.94 : x
  2. Step 2: Convert to fraction form
    423.84/732.94 = 732.94/x
  3. Step 3: Cross multiply
    423.84x = 732.94 × 732.94
  4. Step 4: Simplify right side
    423.84x = 537,197.38
  5. Step 5: Solve for x
    x = 537,197.38/423.84
  6. Step 6: Final answer
    x = 1,267.44

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.