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Finding the Third Proportional to 331,231.50 and 714,951

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Solution

The third proportional to 331,231.50 and 714,951 is: 1,543,195.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,231.50 : 714,951 = 714,951 : x
  2. Step 2: Convert to fraction form
    331,231.50/714,951 = 714,951/x
  3. Step 3: Cross multiply
    331,231.50x = 714,951 × 714,951
  4. Step 4: Simplify right side
    331,231.50x = 511,154,932,401
  5. Step 5: Solve for x
    x = 511,154,932,401/331,231.50
  6. Step 6: Final answer
    x = 1,543,195.42

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.