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Finding the Third Proportional to 293,906 and 441,255

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Solution

The third proportional to 293,906 and 441,255 is: 662,477.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,906 : 441,255 = 441,255 : x
  2. Step 2: Convert to fraction form
    293,906/441,255 = 441,255/x
  3. Step 3: Cross multiply
    293,906x = 441,255 × 441,255
  4. Step 4: Simplify right side
    293,906x = 194,705,975,025
  5. Step 5: Solve for x
    x = 194,705,975,025/293,906
  6. Step 6: Final answer
    x = 662,477.03

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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.