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Finding the Third Proportional to 609,711.68 and 905,725.55

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Solution

The third proportional to 609,711.68 and 905,725.55 is: 1,345,453.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,711.68 : 905,725.55 = 905,725.55 : x
  2. Step 2: Convert to fraction form
    609,711.68/905,725.55 = 905,725.55/x
  3. Step 3: Cross multiply
    609,711.68x = 905,725.55 × 905,725.55
  4. Step 4: Simplify right side
    609,711.68x = 820,338,766,262.02
  5. Step 5: Solve for x
    x = 820,338,766,262.02/609,711.68
  6. Step 6: Final answer
    x = 1,345,453.59

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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.