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Finding the Third Proportional to 523,664 and 800,728

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Solution

The third proportional to 523,664 and 800,728 is: 1,224,383.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,664 : 800,728 = 800,728 : x
  2. Step 2: Convert to fraction form
    523,664/800,728 = 800,728/x
  3. Step 3: Cross multiply
    523,664x = 800,728 × 800,728
  4. Step 4: Simplify right side
    523,664x = 641,165,329,984
  5. Step 5: Solve for x
    x = 641,165,329,984/523,664
  6. Step 6: Final answer
    x = 1,224,383.06

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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.