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Finding the Third Proportional to 278,329 and 596,012

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Solution

The third proportional to 278,329 and 596,012 is: 1,276,296.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,329 : 596,012 = 596,012 : x
  2. Step 2: Convert to fraction form
    278,329/596,012 = 596,012/x
  3. Step 3: Cross multiply
    278,329x = 596,012 × 596,012
  4. Step 4: Simplify right side
    278,329x = 355,230,304,144
  5. Step 5: Solve for x
    x = 355,230,304,144/278,329
  6. Step 6: Final answer
    x = 1,276,296.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.