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Finding the Third Proportional to 393,295.50 and 862,407

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Solution

The third proportional to 393,295.50 and 862,407 is: 1,891,061.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,295.50 : 862,407 = 862,407 : x
  2. Step 2: Convert to fraction form
    393,295.50/862,407 = 862,407/x
  3. Step 3: Cross multiply
    393,295.50x = 862,407 × 862,407
  4. Step 4: Simplify right side
    393,295.50x = 743,745,833,649
  5. Step 5: Solve for x
    x = 743,745,833,649/393,295.50
  6. Step 6: Final answer
    x = 1,891,061.13

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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.