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Finding the Third Proportional to 609,720.75 and 905,737.50

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Solution

The third proportional to 609,720.75 and 905,737.50 is: 1,345,469.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,720.75 : 905,737.50 = 905,737.50 : x
  2. Step 2: Convert to fraction form
    609,720.75/905,737.50 = 905,737.50/x
  3. Step 3: Cross multiply
    609,720.75x = 905,737.50 × 905,737.50
  4. Step 4: Simplify right side
    609,720.75x = 820,360,418,906.25
  5. Step 5: Solve for x
    x = 820,360,418,906.25/609,720.75
  6. Step 6: Final answer
    x = 1,345,469.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.