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Finding the Third Proportional to 505,165.50 and 1,122,432.50

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Solution

The third proportional to 505,165.50 and 1,122,432.50 is: 2,493,944.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,165.50 : 1,122,432.50 = 1,122,432.50 : x
  2. Step 2: Convert to fraction form
    505,165.50/1,122,432.50 = 1,122,432.50/x
  3. Step 3: Cross multiply
    505,165.50x = 1,122,432.50 × 1,122,432.50
  4. Step 4: Simplify right side
    505,165.50x = 1,259,854,717,056.25
  5. Step 5: Solve for x
    x = 1,259,854,717,056.25/505,165.50
  6. Step 6: Final answer
    x = 2,493,944.49

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.