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Finding the Third Proportional to 300,240 and 647,028

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Solution

The third proportional to 300,240 and 647,028 is: 1,394,368.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,240 : 647,028 = 647,028 : x
  2. Step 2: Convert to fraction form
    300,240/647,028 = 647,028/x
  3. Step 3: Cross multiply
    300,240x = 647,028 × 647,028
  4. Step 4: Simplify right side
    300,240x = 418,645,232,784
  5. Step 5: Solve for x
    x = 418,645,232,784/300,240
  6. Step 6: Final answer
    x = 1,394,368.61

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Why These Related Problems?

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