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Finding the Third Proportional to 339,219.50 and 460,689.75

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Solution

The third proportional to 339,219.50 and 460,689.75 is: 625,656.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,219.50 : 460,689.75 = 460,689.75 : x
  2. Step 2: Convert to fraction form
    339,219.50/460,689.75 = 460,689.75/x
  3. Step 3: Cross multiply
    339,219.50x = 460,689.75 × 460,689.75
  4. Step 4: Simplify right side
    339,219.50x = 212,235,045,755.06
  5. Step 5: Solve for x
    x = 212,235,045,755.06/339,219.50
  6. Step 6: Final answer
    x = 625,656.97

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.