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Finding the Third Proportional to 419,186.25 and 592,572.38

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Solution

The third proportional to 419,186.25 and 592,572.38 is: 837,675.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,186.25 : 592,572.38 = 592,572.38 : x
  2. Step 2: Convert to fraction form
    419,186.25/592,572.38 = 592,572.38/x
  3. Step 3: Cross multiply
    419,186.25x = 592,572.38 × 592,572.38
  4. Step 4: Simplify right side
    419,186.25x = 351,142,019,613.14
  5. Step 5: Solve for x
    x = 351,142,019,613.14/419,186.25
  6. Step 6: Final answer
    x = 837,675.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.