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Finding the Third Proportional to 308,889 and 566,517

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Solution

The third proportional to 308,889 and 566,517 is: 1,039,018.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,889 : 566,517 = 566,517 : x
  2. Step 2: Convert to fraction form
    308,889/566,517 = 566,517/x
  3. Step 3: Cross multiply
    308,889x = 566,517 × 566,517
  4. Step 4: Simplify right side
    308,889x = 320,941,511,289
  5. Step 5: Solve for x
    x = 320,941,511,289/308,889
  6. Step 6: Final answer
    x = 1,039,018.91

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.