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Finding the Third Proportional to 335,856.38 and 503,577

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Solution

The third proportional to 335,856.38 and 503,577 is: 755,054.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,856.38 : 503,577 = 503,577 : x
  2. Step 2: Convert to fraction form
    335,856.38/503,577 = 503,577/x
  3. Step 3: Cross multiply
    335,856.38x = 503,577 × 503,577
  4. Step 4: Simplify right side
    335,856.38x = 253,589,794,929
  5. Step 5: Solve for x
    x = 253,589,794,929/335,856.38
  6. Step 6: Final answer
    x = 755,054.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.