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Finding the Third Proportional to 306,850 and 635,002

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Solution

The third proportional to 306,850 and 635,002 is: 1,314,086.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,850 : 635,002 = 635,002 : x
  2. Step 2: Convert to fraction form
    306,850/635,002 = 635,002/x
  3. Step 3: Cross multiply
    306,850x = 635,002 × 635,002
  4. Step 4: Simplify right side
    306,850x = 403,227,540,004
  5. Step 5: Solve for x
    x = 403,227,540,004/306,850
  6. Step 6: Final answer
    x = 1,314,086.82

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.