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Finding the Third Proportional to 295,974 and 639,240.19

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Solution

The third proportional to 295,974 and 639,240.19 is: 1,380,621.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,974 : 639,240.19 = 639,240.19 : x
  2. Step 2: Convert to fraction form
    295,974/639,240.19 = 639,240.19/x
  3. Step 3: Cross multiply
    295,974x = 639,240.19 × 639,240.19
  4. Step 4: Simplify right side
    295,974x = 408,628,017,315.04
  5. Step 5: Solve for x
    x = 408,628,017,315.04/295,974
  6. Step 6: Final answer
    x = 1,380,621.33

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.