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Finding the Third Proportional to 190,462 and 406,236

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Solution

The third proportional to 190,462 and 406,236 is: 866,459.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,462 : 406,236 = 406,236 : x
  2. Step 2: Convert to fraction form
    190,462/406,236 = 406,236/x
  3. Step 3: Cross multiply
    190,462x = 406,236 × 406,236
  4. Step 4: Simplify right side
    190,462x = 165,027,687,696
  5. Step 5: Solve for x
    x = 165,027,687,696/190,462
  6. Step 6: Final answer
    x = 866,459.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.