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Finding the Third Proportional to 292,015.13 and 647,439.75

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Solution

The third proportional to 292,015.13 and 647,439.75 is: 1,435,467.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,015.13 : 647,439.75 = 647,439.75 : x
  2. Step 2: Convert to fraction form
    292,015.13/647,439.75 = 647,439.75/x
  3. Step 3: Cross multiply
    292,015.13x = 647,439.75 × 647,439.75
  4. Step 4: Simplify right side
    292,015.13x = 419,178,229,880.06
  5. Step 5: Solve for x
    x = 419,178,229,880.06/292,015.13
  6. Step 6: Final answer
    x = 1,435,467.53

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.