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Finding the Third Proportional to 368,264 and 806,818

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Solution

The third proportional to 368,264 and 806,818 is: 1,767,632.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,264 : 806,818 = 806,818 : x
  2. Step 2: Convert to fraction form
    368,264/806,818 = 806,818/x
  3. Step 3: Cross multiply
    368,264x = 806,818 × 806,818
  4. Step 4: Simplify right side
    368,264x = 650,955,285,124
  5. Step 5: Solve for x
    x = 650,955,285,124/368,264
  6. Step 6: Final answer
    x = 1,767,632.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.