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Finding the Third Proportional to 282,487.50 and 440,406

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Solution

The third proportional to 282,487.50 and 440,406 is: 686,605.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,487.50 : 440,406 = 440,406 : x
  2. Step 2: Convert to fraction form
    282,487.50/440,406 = 440,406/x
  3. Step 3: Cross multiply
    282,487.50x = 440,406 × 440,406
  4. Step 4: Simplify right side
    282,487.50x = 193,957,444,836
  5. Step 5: Solve for x
    x = 193,957,444,836/282,487.50
  6. Step 6: Final answer
    x = 686,605.41

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.