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Finding the Third Proportional to 293,382 and 440,722

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Solution

The third proportional to 293,382 and 440,722 is: 662,057.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,382 : 440,722 = 440,722 : x
  2. Step 2: Convert to fraction form
    293,382/440,722 = 440,722/x
  3. Step 3: Cross multiply
    293,382x = 440,722 × 440,722
  4. Step 4: Simplify right side
    293,382x = 194,235,881,284
  5. Step 5: Solve for x
    x = 194,235,881,284/293,382
  6. Step 6: Final answer
    x = 662,057.94

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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.