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Finding the Third Proportional to 289.51 and 424.62

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Solution

The third proportional to 289.51 and 424.62 is: 622.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.51 : 424.62 = 424.62 : x
  2. Step 2: Convert to fraction form
    289.51/424.62 = 424.62/x
  3. Step 3: Cross multiply
    289.51x = 424.62 × 424.62
  4. Step 4: Simplify right side
    289.51x = 180,299.76
  5. Step 5: Solve for x
    x = 180,299.76/289.51
  6. Step 6: Final answer
    x = 622.77

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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.