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Finding the Third Proportional to 278,192 and 600,640

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Solution

The third proportional to 278,192 and 600,640 is: 1,296,832.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,192 : 600,640 = 600,640 : x
  2. Step 2: Convert to fraction form
    278,192/600,640 = 600,640/x
  3. Step 3: Cross multiply
    278,192x = 600,640 × 600,640
  4. Step 4: Simplify right side
    278,192x = 360,768,409,600
  5. Step 5: Solve for x
    x = 360,768,409,600/278,192
  6. Step 6: Final answer
    x = 1,296,832.44

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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.