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Finding the Third Proportional to 425,887.88 and 864,290.25

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Solution

The third proportional to 425,887.88 and 864,290.25 is: 1,753,977.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,887.88 : 864,290.25 = 864,290.25 : x
  2. Step 2: Convert to fraction form
    425,887.88/864,290.25 = 864,290.25/x
  3. Step 3: Cross multiply
    425,887.88x = 864,290.25 × 864,290.25
  4. Step 4: Simplify right side
    425,887.88x = 746,997,636,245.06
  5. Step 5: Solve for x
    x = 746,997,636,245.06/425,887.88
  6. Step 6: Final answer
    x = 1,753,977.23

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.