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Finding the Third Proportional to 187,011 and 405,558

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Solution

The third proportional to 187,011 and 405,558 is: 879,505.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,011 : 405,558 = 405,558 : x
  2. Step 2: Convert to fraction form
    187,011/405,558 = 405,558/x
  3. Step 3: Cross multiply
    187,011x = 405,558 × 405,558
  4. Step 4: Simplify right side
    187,011x = 164,477,291,364
  5. Step 5: Solve for x
    x = 164,477,291,364/187,011
  6. Step 6: Final answer
    x = 879,505.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.