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Finding the Third Proportional to 355,111 and 762,926

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Solution

The third proportional to 355,111 and 762,926 is: 1,639,082.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,111 : 762,926 = 762,926 : x
  2. Step 2: Convert to fraction form
    355,111/762,926 = 762,926/x
  3. Step 3: Cross multiply
    355,111x = 762,926 × 762,926
  4. Step 4: Simplify right side
    355,111x = 582,056,081,476
  5. Step 5: Solve for x
    x = 582,056,081,476/355,111
  6. Step 6: Final answer
    x = 1,639,082.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.