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Finding the Third Proportional to 322,357.50 and 758,265.75

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Solution

The third proportional to 322,357.50 and 758,265.75 is: 1,783,631.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,357.50 : 758,265.75 = 758,265.75 : x
  2. Step 2: Convert to fraction form
    322,357.50/758,265.75 = 758,265.75/x
  3. Step 3: Cross multiply
    322,357.50x = 758,265.75 × 758,265.75
  4. Step 4: Simplify right side
    322,357.50x = 574,966,947,623.06
  5. Step 5: Solve for x
    x = 574,966,947,623.06/322,357.50
  6. Step 6: Final answer
    x = 1,783,631.36

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.