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Finding the Third Proportional to 331,785 and 725,662.50

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Solution

The third proportional to 331,785 and 725,662.50 is: 1,587,130.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,785 : 725,662.50 = 725,662.50 : x
  2. Step 2: Convert to fraction form
    331,785/725,662.50 = 725,662.50/x
  3. Step 3: Cross multiply
    331,785x = 725,662.50 × 725,662.50
  4. Step 4: Simplify right side
    331,785x = 526,586,063,906.25
  5. Step 5: Solve for x
    x = 526,586,063,906.25/331,785
  6. Step 6: Final answer
    x = 1,587,130.41

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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.