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Finding the Third Proportional to 307,755.70 and 460,403.37

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Solution

The third proportional to 307,755.70 and 460,403.37 is: 688,764.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,755.70 : 460,403.37 = 460,403.37 : x
  2. Step 2: Convert to fraction form
    307,755.70/460,403.37 = 460,403.37/x
  3. Step 3: Cross multiply
    307,755.70x = 460,403.37 × 460,403.37
  4. Step 4: Simplify right side
    307,755.70x = 211,971,260,517.59
  5. Step 5: Solve for x
    x = 211,971,260,517.59/307,755.70
  6. Step 6: Final answer
    x = 688,764.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.