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Finding the Third Proportional to 467,508 and 993,264

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Solution

The third proportional to 467,508 and 993,264 is: 2,110,281.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,508 : 993,264 = 993,264 : x
  2. Step 2: Convert to fraction form
    467,508/993,264 = 993,264/x
  3. Step 3: Cross multiply
    467,508x = 993,264 × 993,264
  4. Step 4: Simplify right side
    467,508x = 986,573,373,696
  5. Step 5: Solve for x
    x = 986,573,373,696/467,508
  6. Step 6: Final answer
    x = 2,110,281.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.