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Finding the Third Proportional to 467,782 and 683,913

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Solution

The third proportional to 467,782 and 683,913 is: 999,903.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,782 : 683,913 = 683,913 : x
  2. Step 2: Convert to fraction form
    467,782/683,913 = 683,913/x
  3. Step 3: Cross multiply
    467,782x = 683,913 × 683,913
  4. Step 4: Simplify right side
    467,782x = 467,736,991,569
  5. Step 5: Solve for x
    x = 467,736,991,569/467,782
  6. Step 6: Final answer
    x = 999,903.78

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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.