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Finding the Third Proportional to 665,382 and 996,947

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Solution

The third proportional to 665,382 and 996,947 is: 1,493,733.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,382 : 996,947 = 996,947 : x
  2. Step 2: Convert to fraction form
    665,382/996,947 = 996,947/x
  3. Step 3: Cross multiply
    665,382x = 996,947 × 996,947
  4. Step 4: Simplify right side
    665,382x = 993,903,320,809
  5. Step 5: Solve for x
    x = 993,903,320,809/665,382
  6. Step 6: Final answer
    x = 1,493,733.41

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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.