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Finding the Third Proportional to 282,794 and 609,867

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Solution

The third proportional to 282,794 and 609,867 is: 1,315,225.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,794 : 609,867 = 609,867 : x
  2. Step 2: Convert to fraction form
    282,794/609,867 = 609,867/x
  3. Step 3: Cross multiply
    282,794x = 609,867 × 609,867
  4. Step 4: Simplify right side
    282,794x = 371,937,757,689
  5. Step 5: Solve for x
    x = 371,937,757,689/282,794
  6. Step 6: Final answer
    x = 1,315,225.07

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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.