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Finding the Third Proportional to 515,919.38 and 781,670.25

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Solution

The third proportional to 515,919.38 and 781,670.25 is: 1,184,309.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,919.38 : 781,670.25 = 781,670.25 : x
  2. Step 2: Convert to fraction form
    515,919.38/781,670.25 = 781,670.25/x
  3. Step 3: Cross multiply
    515,919.38x = 781,670.25 × 781,670.25
  4. Step 4: Simplify right side
    515,919.38x = 611,008,379,735.06
  5. Step 5: Solve for x
    x = 611,008,379,735.06/515,919.38
  6. Step 6: Final answer
    x = 1,184,309.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.