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Finding the Third Proportional to 445,144.50 and 986,355

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Solution

The third proportional to 445,144.50 and 986,355 is: 2,185,573.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,144.50 : 986,355 = 986,355 : x
  2. Step 2: Convert to fraction form
    445,144.50/986,355 = 986,355/x
  3. Step 3: Cross multiply
    445,144.50x = 986,355 × 986,355
  4. Step 4: Simplify right side
    445,144.50x = 972,896,186,025
  5. Step 5: Solve for x
    x = 972,896,186,025/445,144.50
  6. Step 6: Final answer
    x = 2,185,573.87

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.