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Finding the Third Proportional to 289.51 and 404.21

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Solution

The third proportional to 289.51 and 404.21 is: 564.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.51 : 404.21 = 404.21 : x
  2. Step 2: Convert to fraction form
    289.51/404.21 = 404.21/x
  3. Step 3: Cross multiply
    289.51x = 404.21 × 404.21
  4. Step 4: Simplify right side
    289.51x = 163,384.90
  5. Step 5: Solve for x
    x = 163,384.90/289.51
  6. Step 6: Final answer
    x = 564.35

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.