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Finding the Third Proportional to 467,556 and 683,832

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Solution

The third proportional to 467,556 and 683,832 is: 1,000,150.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,556 : 683,832 = 683,832 : x
  2. Step 2: Convert to fraction form
    467,556/683,832 = 683,832/x
  3. Step 3: Cross multiply
    467,556x = 683,832 × 683,832
  4. Step 4: Simplify right side
    467,556x = 467,626,204,224
  5. Step 5: Solve for x
    x = 467,626,204,224/467,556
  6. Step 6: Final answer
    x = 1,000,150.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.