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Finding the Third Proportional to 435,910 and 585,795

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Solution

The third proportional to 435,910 and 585,795 is: 787,217.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,910 : 585,795 = 585,795 : x
  2. Step 2: Convert to fraction form
    435,910/585,795 = 585,795/x
  3. Step 3: Cross multiply
    435,910x = 585,795 × 585,795
  4. Step 4: Simplify right side
    435,910x = 343,155,782,025
  5. Step 5: Solve for x
    x = 343,155,782,025/435,910
  6. Step 6: Final answer
    x = 787,217.04

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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.