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Finding the Third Proportional to 400,722,268.50 and 613,000,649.25

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Solution

The third proportional to 400,722,268.50 and 613,000,649.25 is: 937,731,255.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,722,268.50 : 613,000,649.25 = 613,000,649.25 : x
  2. Step 2: Convert to fraction form
    400,722,268.50/613,000,649.25 = 613,000,649.25/x
  3. Step 3: Cross multiply
    400,722,268.50x = 613,000,649.25 × 613,000,649.25
  4. Step 4: Simplify right side
    400,722,268.50x = 375,769,795,980,921,536
  5. Step 5: Solve for x
    x = 375,769,795,980,921,536/400,722,268.50
  6. Step 6: Final answer
    x = 937,731,255.58

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