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Finding the Third Proportional to 407,100.94 and 868,304.81

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Solution

The third proportional to 407,100.94 and 868,304.81 is: 1,852,005.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,100.94 : 868,304.81 = 868,304.81 : x
  2. Step 2: Convert to fraction form
    407,100.94/868,304.81 = 868,304.81/x
  3. Step 3: Cross multiply
    407,100.94x = 868,304.81 × 868,304.81
  4. Step 4: Simplify right side
    407,100.94x = 753,953,247,410.66
  5. Step 5: Solve for x
    x = 753,953,247,410.66/407,100.94
  6. Step 6: Final answer
    x = 1,852,005.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.