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Finding the Third Proportional to 526,472 and 769,963

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Solution

The third proportional to 526,472 and 769,963 is: 1,126,067.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,472 : 769,963 = 769,963 : x
  2. Step 2: Convert to fraction form
    526,472/769,963 = 769,963/x
  3. Step 3: Cross multiply
    526,472x = 769,963 × 769,963
  4. Step 4: Simplify right side
    526,472x = 592,843,021,369
  5. Step 5: Solve for x
    x = 592,843,021,369/526,472
  6. Step 6: Final answer
    x = 1,126,067.52

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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.