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Finding the Third Proportional to 576,338 and 926,016

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Solution

The third proportional to 576,338 and 926,016 is: 1,487,851.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,338 : 926,016 = 926,016 : x
  2. Step 2: Convert to fraction form
    576,338/926,016 = 926,016/x
  3. Step 3: Cross multiply
    576,338x = 926,016 × 926,016
  4. Step 4: Simplify right side
    576,338x = 857,505,632,256
  5. Step 5: Solve for x
    x = 857,505,632,256/576,338
  6. Step 6: Final answer
    x = 1,487,851.98

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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.