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Finding the Third Proportional to 404,369.30 and 865,540.69

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Solution

The third proportional to 404,369.30 and 865,540.69 is: 1,852,664.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,369.30 : 865,540.69 = 865,540.69 : x
  2. Step 2: Convert to fraction form
    404,369.30/865,540.69 = 865,540.69/x
  3. Step 3: Cross multiply
    404,369.30x = 865,540.69 × 865,540.69
  4. Step 4: Simplify right side
    404,369.30x = 749,160,681,717.97
  5. Step 5: Solve for x
    x = 749,160,681,717.97/404,369.30
  6. Step 6: Final answer
    x = 1,852,664.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.