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Finding the Third Proportional to 439,344.75 and 913,676.25

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Solution

The third proportional to 439,344.75 and 913,676.25 is: 1,900,112.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,344.75 : 913,676.25 = 913,676.25 : x
  2. Step 2: Convert to fraction form
    439,344.75/913,676.25 = 913,676.25/x
  3. Step 3: Cross multiply
    439,344.75x = 913,676.25 × 913,676.25
  4. Step 4: Simplify right side
    439,344.75x = 834,804,289,814.06
  5. Step 5: Solve for x
    x = 834,804,289,814.06/439,344.75
  6. Step 6: Final answer
    x = 1,900,112.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.