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Finding the Third Proportional to 282,404 and 620,781

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Solution

The third proportional to 282,404 and 620,781 is: 1,364,601.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,404 : 620,781 = 620,781 : x
  2. Step 2: Convert to fraction form
    282,404/620,781 = 620,781/x
  3. Step 3: Cross multiply
    282,404x = 620,781 × 620,781
  4. Step 4: Simplify right side
    282,404x = 385,369,049,961
  5. Step 5: Solve for x
    x = 385,369,049,961/282,404
  6. Step 6: Final answer
    x = 1,364,601.95

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.