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Finding the Third Proportional to 557,640.75 and 886,286.25

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Solution

The third proportional to 557,640.75 and 886,286.25 is: 1,408,618.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,640.75 : 886,286.25 = 886,286.25 : x
  2. Step 2: Convert to fraction form
    557,640.75/886,286.25 = 886,286.25/x
  3. Step 3: Cross multiply
    557,640.75x = 886,286.25 × 886,286.25
  4. Step 4: Simplify right side
    557,640.75x = 785,503,316,939.06
  5. Step 5: Solve for x
    x = 785,503,316,939.06/557,640.75
  6. Step 6: Final answer
    x = 1,408,618.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.