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Finding the Third Proportional to 282,424.50 and 440,311.50

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Solution

The third proportional to 282,424.50 and 440,311.50 is: 686,463.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,424.50 : 440,311.50 = 440,311.50 : x
  2. Step 2: Convert to fraction form
    282,424.50/440,311.50 = 440,311.50/x
  3. Step 3: Cross multiply
    282,424.50x = 440,311.50 × 440,311.50
  4. Step 4: Simplify right side
    282,424.50x = 193,874,217,032.25
  5. Step 5: Solve for x
    x = 193,874,217,032.25/282,424.50
  6. Step 6: Final answer
    x = 686,463.88

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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.