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Finding the Third Proportional to 393,324 and 597,240

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Solution

The third proportional to 393,324 and 597,240 is: 906,874.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,324 : 597,240 = 597,240 : x
  2. Step 2: Convert to fraction form
    393,324/597,240 = 597,240/x
  3. Step 3: Cross multiply
    393,324x = 597,240 × 597,240
  4. Step 4: Simplify right side
    393,324x = 356,695,617,600
  5. Step 5: Solve for x
    x = 356,695,617,600/393,324
  6. Step 6: Final answer
    x = 906,874.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.