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Finding the Third Proportional to 275,578,765 and 408,202,276.50

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Solution

The third proportional to 275,578,765 and 408,202,276.50 is: 604,651,445.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,578,765 : 408,202,276.50 = 408,202,276.50 : x
  2. Step 2: Convert to fraction form
    275,578,765/408,202,276.50 = 408,202,276.50/x
  3. Step 3: Cross multiply
    275,578,765x = 408,202,276.50 × 408,202,276.50
  4. Step 4: Simplify right side
    275,578,765x = 166,629,098,539,782,464
  5. Step 5: Solve for x
    x = 166,629,098,539,782,464/275,578,765
  6. Step 6: Final answer
    x = 604,651,445.26

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.