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Finding the Third Proportional to 293,934.38 and 439,759.13

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Solution

The third proportional to 293,934.38 and 439,759.13 is: 657,929.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,934.38 : 439,759.13 = 439,759.13 : x
  2. Step 2: Convert to fraction form
    293,934.38/439,759.13 = 439,759.13/x
  3. Step 3: Cross multiply
    293,934.38x = 439,759.13 × 439,759.13
  4. Step 4: Simplify right side
    293,934.38x = 193,388,088,020.77
  5. Step 5: Solve for x
    x = 193,388,088,020.77/293,934.38
  6. Step 6: Final answer
    x = 657,929.47

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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.