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Finding the Third Proportional to 404,866.69 and 865,774.97

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Solution

The third proportional to 404,866.69 and 865,774.97 is: 1,851,390.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,866.69 : 865,774.97 = 865,774.97 : x
  2. Step 2: Convert to fraction form
    404,866.69/865,774.97 = 865,774.97/x
  3. Step 3: Cross multiply
    404,866.69x = 865,774.97 × 865,774.97
  4. Step 4: Simplify right side
    404,866.69x = 749,566,296,514.06
  5. Step 5: Solve for x
    x = 749,566,296,514.06/404,866.69
  6. Step 6: Final answer
    x = 1,851,390.40

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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.