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Finding the Third Proportional to 293,952 and 441,324

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Solution

The third proportional to 293,952 and 441,324 is: 662,580.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,952 : 441,324 = 441,324 : x
  2. Step 2: Convert to fraction form
    293,952/441,324 = 441,324/x
  3. Step 3: Cross multiply
    293,952x = 441,324 × 441,324
  4. Step 4: Simplify right side
    293,952x = 194,766,872,976
  5. Step 5: Solve for x
    x = 194,766,872,976/293,952
  6. Step 6: Final answer
    x = 662,580.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.