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Finding the Third Proportional to 393,833.71 and 802,110.73

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Solution

The third proportional to 393,833.71 and 802,110.73 is: 1,633,637.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,833.71 : 802,110.73 = 802,110.73 : x
  2. Step 2: Convert to fraction form
    393,833.71/802,110.73 = 802,110.73/x
  3. Step 3: Cross multiply
    393,833.71x = 802,110.73 × 802,110.73
  4. Step 4: Simplify right side
    393,833.71x = 643,381,617,666.62
  5. Step 5: Solve for x
    x = 643,381,617,666.62/393,833.71
  6. Step 6: Final answer
    x = 1,633,637.77

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.