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Finding the Third Proportional to 404,898.75 and 868,709.81

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Solution

The third proportional to 404,898.75 and 868,709.81 is: 1,863,815.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,898.75 : 868,709.81 = 868,709.81 : x
  2. Step 2: Convert to fraction form
    404,898.75/868,709.81 = 868,709.81/x
  3. Step 3: Cross multiply
    404,898.75x = 868,709.81 × 868,709.81
  4. Step 4: Simplify right side
    404,898.75x = 754,656,738,333.79
  5. Step 5: Solve for x
    x = 754,656,738,333.79/404,898.75
  6. Step 6: Final answer
    x = 1,863,815.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.