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Finding the Third Proportional to 368,256 and 806,784

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Solution

The third proportional to 368,256 and 806,784 is: 1,767,521.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,256 : 806,784 = 806,784 : x
  2. Step 2: Convert to fraction form
    368,256/806,784 = 806,784/x
  3. Step 3: Cross multiply
    368,256x = 806,784 × 806,784
  4. Step 4: Simplify right side
    368,256x = 650,900,422,656
  5. Step 5: Solve for x
    x = 650,900,422,656/368,256
  6. Step 6: Final answer
    x = 1,767,521.57

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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.