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Finding the Third Proportional to 293,964 and 441,342

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Solution

The third proportional to 293,964 and 441,342 is: 662,607.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,964 : 441,342 = 441,342 : x
  2. Step 2: Convert to fraction form
    293,964/441,342 = 441,342/x
  3. Step 3: Cross multiply
    293,964x = 441,342 × 441,342
  4. Step 4: Simplify right side
    293,964x = 194,782,760,964
  5. Step 5: Solve for x
    x = 194,782,760,964/293,964
  6. Step 6: Final answer
    x = 662,607.53

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