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Finding the Third Proportional to 472,638 and 726,477

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Solution

The third proportional to 472,638 and 726,477 is: 1,116,644.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,638 : 726,477 = 726,477 : x
  2. Step 2: Convert to fraction form
    472,638/726,477 = 726,477/x
  3. Step 3: Cross multiply
    472,638x = 726,477 × 726,477
  4. Step 4: Simplify right side
    472,638x = 527,768,831,529
  5. Step 5: Solve for x
    x = 527,768,831,529/472,638
  6. Step 6: Final answer
    x = 1,116,644.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.