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Finding the Third Proportional to 514,104 and 768,132

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Solution

The third proportional to 514,104 and 768,132 is: 1,147,679.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,104 : 768,132 = 768,132 : x
  2. Step 2: Convert to fraction form
    514,104/768,132 = 768,132/x
  3. Step 3: Cross multiply
    514,104x = 768,132 × 768,132
  4. Step 4: Simplify right side
    514,104x = 590,026,769,424
  5. Step 5: Solve for x
    x = 590,026,769,424/514,104
  6. Step 6: Final answer
    x = 1,147,679.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.