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Finding the Third Proportional to 282,805 and 667,032

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Solution

The third proportional to 282,805 and 667,032 is: 1,573,280.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,805 : 667,032 = 667,032 : x
  2. Step 2: Convert to fraction form
    282,805/667,032 = 667,032/x
  3. Step 3: Cross multiply
    282,805x = 667,032 × 667,032
  4. Step 4: Simplify right side
    282,805x = 444,931,689,024
  5. Step 5: Solve for x
    x = 444,931,689,024/282,805
  6. Step 6: Final answer
    x = 1,573,280.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.