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Finding the Third Proportional to 368,276 and 806,820

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Solution

The third proportional to 368,276 and 806,820 is: 1,767,583.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,276 : 806,820 = 806,820 : x
  2. Step 2: Convert to fraction form
    368,276/806,820 = 806,820/x
  3. Step 3: Cross multiply
    368,276x = 806,820 × 806,820
  4. Step 4: Simplify right side
    368,276x = 650,958,512,400
  5. Step 5: Solve for x
    x = 650,958,512,400/368,276
  6. Step 6: Final answer
    x = 1,767,583.31

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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.