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Finding the Third Proportional to 664,467 and 996,486

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Solution

The third proportional to 664,467 and 996,486 is: 1,494,407.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,467 : 996,486 = 996,486 : x
  2. Step 2: Convert to fraction form
    664,467/996,486 = 996,486/x
  3. Step 3: Cross multiply
    664,467x = 996,486 × 996,486
  4. Step 4: Simplify right side
    664,467x = 992,984,348,196
  5. Step 5: Solve for x
    x = 992,984,348,196/664,467
  6. Step 6: Final answer
    x = 1,494,407.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.