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Finding the Third Proportional to 502,015.75 and 1,103,676.75

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Solution

The third proportional to 502,015.75 and 1,103,676.75 is: 2,426,422.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,015.75 : 1,103,676.75 = 1,103,676.75 : x
  2. Step 2: Convert to fraction form
    502,015.75/1,103,676.75 = 1,103,676.75/x
  3. Step 3: Cross multiply
    502,015.75x = 1,103,676.75 × 1,103,676.75
  4. Step 4: Simplify right side
    502,015.75x = 1,218,102,368,490.56
  5. Step 5: Solve for x
    x = 1,218,102,368,490.56/502,015.75
  6. Step 6: Final answer
    x = 2,426,422.61

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.