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Finding the Third Proportional to 435,324,530.25 and 665,647,620.75

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Solution

The third proportional to 435,324,530.25 and 665,647,620.75 is: 1,017,830,892.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,324,530.25 : 665,647,620.75 = 665,647,620.75 : x
  2. Step 2: Convert to fraction form
    435,324,530.25/665,647,620.75 = 665,647,620.75/x
  3. Step 3: Cross multiply
    435,324,530.25x = 665,647,620.75 × 665,647,620.75
  4. Step 4: Simplify right side
    435,324,530.25x = 443,086,755,010,135,808
  5. Step 5: Solve for x
    x = 443,086,755,010,135,808/435,324,530.25
  6. Step 6: Final answer
    x = 1,017,830,892.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.