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Finding the Third Proportional to 366,961 and 808,414

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Solution

The third proportional to 366,961 and 808,414 is: 1,780,933.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,961 : 808,414 = 808,414 : x
  2. Step 2: Convert to fraction form
    366,961/808,414 = 808,414/x
  3. Step 3: Cross multiply
    366,961x = 808,414 × 808,414
  4. Step 4: Simplify right side
    366,961x = 653,533,195,396
  5. Step 5: Solve for x
    x = 653,533,195,396/366,961
  6. Step 6: Final answer
    x = 1,780,933.66

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.