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Finding the Third Proportional to 526,474 and 769,966

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Solution

The third proportional to 526,474 and 769,966 is: 1,126,072.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,474 : 769,966 = 769,966 : x
  2. Step 2: Convert to fraction form
    526,474/769,966 = 769,966/x
  3. Step 3: Cross multiply
    526,474x = 769,966 × 769,966
  4. Step 4: Simplify right side
    526,474x = 592,847,641,156
  5. Step 5: Solve for x
    x = 592,847,641,156/526,474
  6. Step 6: Final answer
    x = 1,126,072.02

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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.