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Finding the Third Proportional to 289,324 and 442,324

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Solution

The third proportional to 289,324 and 442,324 is: 676,233.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,324 : 442,324 = 442,324 : x
  2. Step 2: Convert to fraction form
    289,324/442,324 = 442,324/x
  3. Step 3: Cross multiply
    289,324x = 442,324 × 442,324
  4. Step 4: Simplify right side
    289,324x = 195,650,520,976
  5. Step 5: Solve for x
    x = 195,650,520,976/289,324
  6. Step 6: Final answer
    x = 676,233.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.