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Finding the Third Proportional to 293,958 and 441,333

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Solution

The third proportional to 293,958 and 441,333 is: 662,594.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,958 : 441,333 = 441,333 : x
  2. Step 2: Convert to fraction form
    293,958/441,333 = 441,333/x
  3. Step 3: Cross multiply
    293,958x = 441,333 × 441,333
  4. Step 4: Simplify right side
    293,958x = 194,774,816,889
  5. Step 5: Solve for x
    x = 194,774,816,889/293,958
  6. Step 6: Final answer
    x = 662,594.03

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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.