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Finding the Third Proportional to 397,677.09 and 858,389.91

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Solution

The third proportional to 397,677.09 and 858,389.91 is: 1,852,843.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,677.09 : 858,389.91 = 858,389.91 : x
  2. Step 2: Convert to fraction form
    397,677.09/858,389.91 = 858,389.91/x
  3. Step 3: Cross multiply
    397,677.09x = 858,389.91 × 858,389.91
  4. Step 4: Simplify right side
    397,677.09x = 736,833,231,151.88
  5. Step 5: Solve for x
    x = 736,833,231,151.88/397,677.09
  6. Step 6: Final answer
    x = 1,852,843.03

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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.