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Finding the Third Proportional to 435,914 and 585,801

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Solution

The third proportional to 435,914 and 585,801 is: 787,225.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,914 : 585,801 = 585,801 : x
  2. Step 2: Convert to fraction form
    435,914/585,801 = 585,801/x
  3. Step 3: Cross multiply
    435,914x = 585,801 × 585,801
  4. Step 4: Simplify right side
    435,914x = 343,162,811,601
  5. Step 5: Solve for x
    x = 343,162,811,601/435,914
  6. Step 6: Final answer
    x = 787,225.95

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.