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Finding the Third Proportional to 452,040.75 and 994,477.50

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Solution

The third proportional to 452,040.75 and 994,477.50 is: 2,187,823.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,040.75 : 994,477.50 = 994,477.50 : x
  2. Step 2: Convert to fraction form
    452,040.75/994,477.50 = 994,477.50/x
  3. Step 3: Cross multiply
    452,040.75x = 994,477.50 × 994,477.50
  4. Step 4: Simplify right side
    452,040.75x = 988,985,498,006.25
  5. Step 5: Solve for x
    x = 988,985,498,006.25/452,040.75
  6. Step 6: Final answer
    x = 2,187,823.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.