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Finding the Third Proportional to 536,638 and 726,224

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Solution

The third proportional to 536,638 and 726,224 is: 982,787.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,638 : 726,224 = 726,224 : x
  2. Step 2: Convert to fraction form
    536,638/726,224 = 726,224/x
  3. Step 3: Cross multiply
    536,638x = 726,224 × 726,224
  4. Step 4: Simplify right side
    536,638x = 527,401,298,176
  5. Step 5: Solve for x
    x = 527,401,298,176/536,638
  6. Step 6: Final answer
    x = 982,787.83

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.