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Finding the Third Proportional to 404,962.88 and 874,863.75

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Solution

The third proportional to 404,962.88 and 874,863.75 is: 1,890,016.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,962.88 : 874,863.75 = 874,863.75 : x
  2. Step 2: Convert to fraction form
    404,962.88/874,863.75 = 874,863.75/x
  3. Step 3: Cross multiply
    404,962.88x = 874,863.75 × 874,863.75
  4. Step 4: Simplify right side
    404,962.88x = 765,386,581,064.06
  5. Step 5: Solve for x
    x = 765,386,581,064.06/404,962.88
  6. Step 6: Final answer
    x = 1,890,016.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.