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Finding the Third Proportional to 524,966 and 768,858

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Solution

The third proportional to 524,966 and 768,858 is: 1,126,058.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,966 : 768,858 = 768,858 : x
  2. Step 2: Convert to fraction form
    524,966/768,858 = 768,858/x
  3. Step 3: Cross multiply
    524,966x = 768,858 × 768,858
  4. Step 4: Simplify right side
    524,966x = 591,142,624,164
  5. Step 5: Solve for x
    x = 591,142,624,164/524,966
  6. Step 6: Final answer
    x = 1,126,058.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.