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Finding the Third Proportional to 407,813.91 and 874,676.81

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Solution

The third proportional to 407,813.91 and 874,676.81 is: 1,876,001.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,813.91 : 874,676.81 = 874,676.81 : x
  2. Step 2: Convert to fraction form
    407,813.91/874,676.81 = 874,676.81/x
  3. Step 3: Cross multiply
    407,813.91x = 874,676.81 × 874,676.81
  4. Step 4: Simplify right side
    407,813.91x = 765,059,526,325.16
  5. Step 5: Solve for x
    x = 765,059,526,325.16/407,813.91
  6. Step 6: Final answer
    x = 1,876,001.56

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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.