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Finding the Third Proportional to 576,339 and 926,019

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Solution

The third proportional to 576,339 and 926,019 is: 1,487,859.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,339 : 926,019 = 926,019 : x
  2. Step 2: Convert to fraction form
    576,339/926,019 = 926,019/x
  3. Step 3: Cross multiply
    576,339x = 926,019 × 926,019
  4. Step 4: Simplify right side
    576,339x = 857,511,188,361
  5. Step 5: Solve for x
    x = 857,511,188,361/576,339
  6. Step 6: Final answer
    x = 1,487,859.03

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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.