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Finding the Third Proportional to 368,418.38 and 806,972.63

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Solution

The third proportional to 368,418.38 and 806,972.63 is: 1,767,568.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,418.38 : 806,972.63 = 806,972.63 : x
  2. Step 2: Convert to fraction form
    368,418.38/806,972.63 = 806,972.63/x
  3. Step 3: Cross multiply
    368,418.38x = 806,972.63 × 806,972.63
  4. Step 4: Simplify right side
    368,418.38x = 651,204,817,499.39
  5. Step 5: Solve for x
    x = 651,204,817,499.39/368,418.38
  6. Step 6: Final answer
    x = 1,767,568.78

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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.