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Finding the Third Proportional to 588,774.38 and 933,827.25

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Solution

The third proportional to 588,774.38 and 933,827.25 is: 1,481,099.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,774.38 : 933,827.25 = 933,827.25 : x
  2. Step 2: Convert to fraction form
    588,774.38/933,827.25 = 933,827.25/x
  3. Step 3: Cross multiply
    588,774.38x = 933,827.25 × 933,827.25
  4. Step 4: Simplify right side
    588,774.38x = 872,033,332,842.56
  5. Step 5: Solve for x
    x = 872,033,332,842.56/588,774.38
  6. Step 6: Final answer
    x = 1,481,099.33

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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.