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Finding the Third Proportional to 331,473.75 and 725,641.50

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Solution

The third proportional to 331,473.75 and 725,641.50 is: 1,588,528.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,473.75 : 725,641.50 = 725,641.50 : x
  2. Step 2: Convert to fraction form
    331,473.75/725,641.50 = 725,641.50/x
  3. Step 3: Cross multiply
    331,473.75x = 725,641.50 × 725,641.50
  4. Step 4: Simplify right side
    331,473.75x = 526,555,586,522.25
  5. Step 5: Solve for x
    x = 526,555,586,522.25/331,473.75
  6. Step 6: Final answer
    x = 1,588,528.76

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.