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Finding the Third Proportional to 609,621.75 and 905,599.13

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Solution

The third proportional to 609,621.75 and 905,599.13 is: 1,345,276.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,621.75 : 905,599.13 = 905,599.13 : x
  2. Step 2: Convert to fraction form
    609,621.75/905,599.13 = 905,599.13/x
  3. Step 3: Cross multiply
    609,621.75x = 905,599.13 × 905,599.13
  4. Step 4: Simplify right side
    609,621.75x = 820,109,775,200.77
  5. Step 5: Solve for x
    x = 820,109,775,200.77/609,621.75
  6. Step 6: Final answer
    x = 1,345,276.44

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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.