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Finding the Third Proportional to 282,793 and 609,865

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Solution

The third proportional to 282,793 and 609,865 is: 1,315,221.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,793 : 609,865 = 609,865 : x
  2. Step 2: Convert to fraction form
    282,793/609,865 = 609,865/x
  3. Step 3: Cross multiply
    282,793x = 609,865 × 609,865
  4. Step 4: Simplify right side
    282,793x = 371,935,318,225
  5. Step 5: Solve for x
    x = 371,935,318,225/282,793
  6. Step 6: Final answer
    x = 1,315,221.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.