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Finding the Third Proportional to 609,720 and 905,736.38

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Solution

The third proportional to 609,720 and 905,736.38 is: 1,345,467.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,720 : 905,736.38 = 905,736.38 : x
  2. Step 2: Convert to fraction form
    609,720/905,736.38 = 905,736.38/x
  3. Step 3: Cross multiply
    609,720x = 905,736.38 × 905,736.38
  4. Step 4: Simplify right side
    609,720x = 820,358,380,998.14
  5. Step 5: Solve for x
    x = 820,358,380,998.14/609,720
  6. Step 6: Final answer
    x = 1,345,467.40

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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.