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Finding the Third Proportional to 294,919.31 and 645,033.38

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Solution

The third proportional to 294,919.31 and 645,033.38 is: 1,410,786.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,919.31 : 645,033.38 = 645,033.38 : x
  2. Step 2: Convert to fraction form
    294,919.31/645,033.38 = 645,033.38/x
  3. Step 3: Cross multiply
    294,919.31x = 645,033.38 × 645,033.38
  4. Step 4: Simplify right side
    294,919.31x = 416,068,054,863.89
  5. Step 5: Solve for x
    x = 416,068,054,863.89/294,919.31
  6. Step 6: Final answer
    x = 1,410,786.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.