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Finding the Third Proportional to 282,906 and 609,917

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Solution

The third proportional to 282,906 and 609,917 is: 1,314,919.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,906 : 609,917 = 609,917 : x
  2. Step 2: Convert to fraction form
    282,906/609,917 = 609,917/x
  3. Step 3: Cross multiply
    282,906x = 609,917 × 609,917
  4. Step 4: Simplify right side
    282,906x = 371,998,746,889
  5. Step 5: Solve for x
    x = 371,998,746,889/282,906
  6. Step 6: Final answer
    x = 1,314,919.96

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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.