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Finding the Third Proportional to 293,896.69 and 439,705.97

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Solution

The third proportional to 293,896.69 and 439,705.97 is: 657,854.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,896.69 : 439,705.97 = 439,705.97 : x
  2. Step 2: Convert to fraction form
    293,896.69/439,705.97 = 439,705.97/x
  3. Step 3: Cross multiply
    293,896.69x = 439,705.97 × 439,705.97
  4. Step 4: Simplify right side
    293,896.69x = 193,341,338,954.38
  5. Step 5: Solve for x
    x = 193,341,338,954.38/293,896.69
  6. Step 6: Final answer
    x = 657,854.77

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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.