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Finding the Third Proportional to 278,321 and 595,996

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Solution

The third proportional to 278,321 and 595,996 is: 1,276,264.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,321 : 595,996 = 595,996 : x
  2. Step 2: Convert to fraction form
    278,321/595,996 = 595,996/x
  3. Step 3: Cross multiply
    278,321x = 595,996 × 595,996
  4. Step 4: Simplify right side
    278,321x = 355,211,232,016
  5. Step 5: Solve for x
    x = 355,211,232,016/278,321
  6. Step 6: Final answer
    x = 1,276,264.57

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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.