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Finding the Third Proportional to 425,351.25 and 920,524.50

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Solution

The third proportional to 425,351.25 and 920,524.50 is: 1,992,154.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,351.25 : 920,524.50 = 920,524.50 : x
  2. Step 2: Convert to fraction form
    425,351.25/920,524.50 = 920,524.50/x
  3. Step 3: Cross multiply
    425,351.25x = 920,524.50 × 920,524.50
  4. Step 4: Simplify right side
    425,351.25x = 847,365,355,100.25
  5. Step 5: Solve for x
    x = 847,365,355,100.25/425,351.25
  6. Step 6: Final answer
    x = 1,992,154.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.