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Finding the Third Proportional to 393,715.69 and 843,196.50

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Solution

The third proportional to 393,715.69 and 843,196.50 is: 1,805,821.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,715.69 : 843,196.50 = 843,196.50 : x
  2. Step 2: Convert to fraction form
    393,715.69/843,196.50 = 843,196.50/x
  3. Step 3: Cross multiply
    393,715.69x = 843,196.50 × 843,196.50
  4. Step 4: Simplify right side
    393,715.69x = 710,980,337,612.25
  5. Step 5: Solve for x
    x = 710,980,337,612.25/393,715.69
  6. Step 6: Final answer
    x = 1,805,821.71

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.