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Finding the Third Proportional to 278,943 and 609,857

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Solution

The third proportional to 278,943 and 609,857 is: 1,333,338.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,943 : 609,857 = 609,857 : x
  2. Step 2: Convert to fraction form
    278,943/609,857 = 609,857/x
  3. Step 3: Cross multiply
    278,943x = 609,857 × 609,857
  4. Step 4: Simplify right side
    278,943x = 371,925,560,449
  5. Step 5: Solve for x
    x = 371,925,560,449/278,943
  6. Step 6: Final answer
    x = 1,333,338.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.