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Finding the Third Proportional to 507,333.75 and 1,056,647.25

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Solution

The third proportional to 507,333.75 and 1,056,647.25 is: 2,200,727.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,333.75 : 1,056,647.25 = 1,056,647.25 : x
  2. Step 2: Convert to fraction form
    507,333.75/1,056,647.25 = 1,056,647.25/x
  3. Step 3: Cross multiply
    507,333.75x = 1,056,647.25 × 1,056,647.25
  4. Step 4: Simplify right side
    507,333.75x = 1,116,503,410,932.56
  5. Step 5: Solve for x
    x = 1,116,503,410,932.56/507,333.75
  6. Step 6: Final answer
    x = 2,200,727.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.