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Finding the Third Proportional to 442,385.25 and 967,563

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Solution

The third proportional to 442,385.25 and 967,563 is: 2,116,205.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,385.25 : 967,563 = 967,563 : x
  2. Step 2: Convert to fraction form
    442,385.25/967,563 = 967,563/x
  3. Step 3: Cross multiply
    442,385.25x = 967,563 × 967,563
  4. Step 4: Simplify right side
    442,385.25x = 936,178,158,969
  5. Step 5: Solve for x
    x = 936,178,158,969/442,385.25
  6. Step 6: Final answer
    x = 2,116,205.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.