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Finding the Third Proportional to 762,264 and 1,505,250

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Solution

The third proportional to 762,264 and 1,505,250 is: 2,972,431.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,264 : 1,505,250 = 1,505,250 : x
  2. Step 2: Convert to fraction form
    762,264/1,505,250 = 1,505,250/x
  3. Step 3: Cross multiply
    762,264x = 1,505,250 × 1,505,250
  4. Step 4: Simplify right side
    762,264x = 2,265,777,562,500
  5. Step 5: Solve for x
    x = 2,265,777,562,500/762,264
  6. Step 6: Final answer
    x = 2,972,431.55

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.