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Finding the Third Proportional to 664,280 and 996,247

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Solution

The third proportional to 664,280 and 996,247 is: 1,494,111.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,280 : 996,247 = 996,247 : x
  2. Step 2: Convert to fraction form
    664,280/996,247 = 996,247/x
  3. Step 3: Cross multiply
    664,280x = 996,247 × 996,247
  4. Step 4: Simplify right side
    664,280x = 992,508,085,009
  5. Step 5: Solve for x
    x = 992,508,085,009/664,280
  6. Step 6: Final answer
    x = 1,494,111.05

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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.