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Finding the Third Proportional to 424,958 and 928,324

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Solution

The third proportional to 424,958 and 928,324 is: 2,027,930.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,958 : 928,324 = 928,324 : x
  2. Step 2: Convert to fraction form
    424,958/928,324 = 928,324/x
  3. Step 3: Cross multiply
    424,958x = 928,324 × 928,324
  4. Step 4: Simplify right side
    424,958x = 861,785,448,976
  5. Step 5: Solve for x
    x = 861,785,448,976/424,958
  6. Step 6: Final answer
    x = 2,027,930.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.