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Finding the Third Proportional to 278,172 and 600,692

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Solution

The third proportional to 278,172 and 600,692 is: 1,297,150.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,172 : 600,692 = 600,692 : x
  2. Step 2: Convert to fraction form
    278,172/600,692 = 600,692/x
  3. Step 3: Cross multiply
    278,172x = 600,692 × 600,692
  4. Step 4: Simplify right side
    278,172x = 360,830,878,864
  5. Step 5: Solve for x
    x = 360,830,878,864/278,172
  6. Step 6: Final answer
    x = 1,297,150.25

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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.