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Finding the Third Proportional to 350,436 and 532,579

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Solution

The third proportional to 350,436 and 532,579 is: 809,392.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,436 : 532,579 = 532,579 : x
  2. Step 2: Convert to fraction form
    350,436/532,579 = 532,579/x
  3. Step 3: Cross multiply
    350,436x = 532,579 × 532,579
  4. Step 4: Simplify right side
    350,436x = 283,640,391,241
  5. Step 5: Solve for x
    x = 283,640,391,241/350,436
  6. Step 6: Final answer
    x = 809,392.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.