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Finding the Third Proportional to 399,738 and 851,264

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Solution

The third proportional to 399,738 and 851,264 is: 1,812,813.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,738 : 851,264 = 851,264 : x
  2. Step 2: Convert to fraction form
    399,738/851,264 = 851,264/x
  3. Step 3: Cross multiply
    399,738x = 851,264 × 851,264
  4. Step 4: Simplify right side
    399,738x = 724,650,397,696
  5. Step 5: Solve for x
    x = 724,650,397,696/399,738
  6. Step 6: Final answer
    x = 1,812,813.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.