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Finding the Third Proportional to 290,084,008.50 and 449,831,400.75

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Solution

The third proportional to 290,084,008.50 and 449,831,400.75 is: 697,550,651.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,084,008.50 : 449,831,400.75 = 449,831,400.75 : x
  2. Step 2: Convert to fraction form
    290,084,008.50/449,831,400.75 = 449,831,400.75/x
  3. Step 3: Cross multiply
    290,084,008.50x = 449,831,400.75 × 449,831,400.75
  4. Step 4: Simplify right side
    290,084,008.50x = 202,348,289,100,707,104
  5. Step 5: Solve for x
    x = 202,348,289,100,707,104/290,084,008.50
  6. Step 6: Final answer
    x = 697,550,651.44

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.