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Finding the Third Proportional to 332,356.50 and 731,139.75

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Solution

The third proportional to 332,356.50 and 731,139.75 is: 1,608,409.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,356.50 : 731,139.75 = 731,139.75 : x
  2. Step 2: Convert to fraction form
    332,356.50/731,139.75 = 731,139.75/x
  3. Step 3: Cross multiply
    332,356.50x = 731,139.75 × 731,139.75
  4. Step 4: Simplify right side
    332,356.50x = 534,565,334,030.06
  5. Step 5: Solve for x
    x = 534,565,334,030.06/332,356.50
  6. Step 6: Final answer
    x = 1,608,409.45

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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.