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Finding the Third Proportional to 435,976.50 and 585,884.25

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Solution

The third proportional to 435,976.50 and 585,884.25 is: 787,336.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,976.50 : 585,884.25 = 585,884.25 : x
  2. Step 2: Convert to fraction form
    435,976.50/585,884.25 = 585,884.25/x
  3. Step 3: Cross multiply
    435,976.50x = 585,884.25 × 585,884.25
  4. Step 4: Simplify right side
    435,976.50x = 343,260,354,398.06
  5. Step 5: Solve for x
    x = 343,260,354,398.06/435,976.50
  6. Step 6: Final answer
    x = 787,336.83

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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.