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Finding the Third Proportional to 514,100 and 768,126

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Solution

The third proportional to 514,100 and 768,126 is: 1,147,670.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,100 : 768,126 = 768,126 : x
  2. Step 2: Convert to fraction form
    514,100/768,126 = 768,126/x
  3. Step 3: Cross multiply
    514,100x = 768,126 × 768,126
  4. Step 4: Simplify right side
    514,100x = 590,017,551,876
  5. Step 5: Solve for x
    x = 590,017,551,876/514,100
  6. Step 6: Final answer
    x = 1,147,670.79

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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.