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Finding the Third Proportional to 407,855.25 and 882,910.13

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Solution

The third proportional to 407,855.25 and 882,910.13 is: 1,911,291.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,855.25 : 882,910.13 = 882,910.13 : x
  2. Step 2: Convert to fraction form
    407,855.25/882,910.13 = 882,910.13/x
  3. Step 3: Cross multiply
    407,855.25x = 882,910.13 × 882,910.13
  4. Step 4: Simplify right side
    407,855.25x = 779,530,288,827.52
  5. Step 5: Solve for x
    x = 779,530,288,827.52/407,855.25
  6. Step 6: Final answer
    x = 1,911,291.54

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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.