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Finding the Third Proportional to 576,318 and 925,983

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Solution

The third proportional to 576,318 and 925,983 is: 1,487,797.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,318 : 925,983 = 925,983 : x
  2. Step 2: Convert to fraction form
    576,318/925,983 = 925,983/x
  3. Step 3: Cross multiply
    576,318x = 925,983 × 925,983
  4. Step 4: Simplify right side
    576,318x = 857,444,516,289
  5. Step 5: Solve for x
    x = 857,444,516,289/576,318
  6. Step 6: Final answer
    x = 1,487,797.56

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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.