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Finding the Third Proportional to 407,739 and 629,419.50

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Solution

The third proportional to 407,739 and 629,419.50 is: 971,623.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,739 : 629,419.50 = 629,419.50 : x
  2. Step 2: Convert to fraction form
    407,739/629,419.50 = 629,419.50/x
  3. Step 3: Cross multiply
    407,739x = 629,419.50 × 629,419.50
  4. Step 4: Simplify right side
    407,739x = 396,168,906,980.25
  5. Step 5: Solve for x
    x = 396,168,906,980.25/407,739
  6. Step 6: Final answer
    x = 971,623.78

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.