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Finding the Third Proportional to 414,649.13 and 624,894.75

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Solution

The third proportional to 414,649.13 and 624,894.75 is: 941,744.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,649.13 : 624,894.75 = 624,894.75 : x
  2. Step 2: Convert to fraction form
    414,649.13/624,894.75 = 624,894.75/x
  3. Step 3: Cross multiply
    414,649.13x = 624,894.75 × 624,894.75
  4. Step 4: Simplify right side
    414,649.13x = 390,493,448,577.56
  5. Step 5: Solve for x
    x = 390,493,448,577.56/414,649.13
  6. Step 6: Final answer
    x = 941,744.30

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.