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Finding the Third Proportional to 404,370.75 and 865,544.13

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Solution

The third proportional to 404,370.75 and 865,544.13 is: 1,852,672.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,370.75 : 865,544.13 = 865,544.13 : x
  2. Step 2: Convert to fraction form
    404,370.75/865,544.13 = 865,544.13/x
  3. Step 3: Cross multiply
    404,370.75x = 865,544.13 × 865,544.13
  4. Step 4: Simplify right side
    404,370.75x = 749,166,632,322.02
  5. Step 5: Solve for x
    x = 749,166,632,322.02/404,370.75
  6. Step 6: Final answer
    x = 1,852,672.66

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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.