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Finding the Third Proportional to 365,601 and 564,997

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Solution

The third proportional to 365,601 and 564,997 is: 873,142.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,601 : 564,997 = 564,997 : x
  2. Step 2: Convert to fraction form
    365,601/564,997 = 564,997/x
  3. Step 3: Cross multiply
    365,601x = 564,997 × 564,997
  4. Step 4: Simplify right side
    365,601x = 319,221,610,009
  5. Step 5: Solve for x
    x = 319,221,610,009/365,601
  6. Step 6: Final answer
    x = 873,142.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.