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Finding the Third Proportional to 609,715.69 and 905,730.19

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Solution

The third proportional to 609,715.69 and 905,730.19 is: 1,345,458.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,715.69 : 905,730.19 = 905,730.19 : x
  2. Step 2: Convert to fraction form
    609,715.69/905,730.19 = 905,730.19/x
  3. Step 3: Cross multiply
    609,715.69x = 905,730.19 × 905,730.19
  4. Step 4: Simplify right side
    609,715.69x = 820,347,172,548.79
  5. Step 5: Solve for x
    x = 820,347,172,548.79/609,715.69
  6. Step 6: Final answer
    x = 1,345,458.53

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