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Finding the Third Proportional to 293,937 and 439,764

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Solution

The third proportional to 293,937 and 439,764 is: 657,938.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,937 : 439,764 = 439,764 : x
  2. Step 2: Convert to fraction form
    293,937/439,764 = 439,764/x
  3. Step 3: Cross multiply
    293,937x = 439,764 × 439,764
  4. Step 4: Simplify right side
    293,937x = 193,392,375,696
  5. Step 5: Solve for x
    x = 193,392,375,696/293,937
  6. Step 6: Final answer
    x = 657,938.18

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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.