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Finding the Third Proportional to 187,001 and 405,706

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Solution

The third proportional to 187,001 and 405,706 is: 880,195.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,001 : 405,706 = 405,706 : x
  2. Step 2: Convert to fraction form
    187,001/405,706 = 405,706/x
  3. Step 3: Cross multiply
    187,001x = 405,706 × 405,706
  4. Step 4: Simplify right side
    187,001x = 164,597,358,436
  5. Step 5: Solve for x
    x = 164,597,358,436/187,001
  6. Step 6: Final answer
    x = 880,195.07

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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.