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Finding the Third Proportional to 576,311 and 925,974.75

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Solution

The third proportional to 576,311 and 925,974.75 is: 1,487,789.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,311 : 925,974.75 = 925,974.75 : x
  2. Step 2: Convert to fraction form
    576,311/925,974.75 = 925,974.75/x
  3. Step 3: Cross multiply
    576,311x = 925,974.75 × 925,974.75
  4. Step 4: Simplify right side
    576,311x = 857,429,237,637.56
  5. Step 5: Solve for x
    x = 857,429,237,637.56/576,311
  6. Step 6: Final answer
    x = 1,487,789.12

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.