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Finding the Third Proportional to 191,483 and 409,030

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Solution

The third proportional to 191,483 and 409,030 is: 873,735.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,483 : 409,030 = 409,030 : x
  2. Step 2: Convert to fraction form
    191,483/409,030 = 409,030/x
  3. Step 3: Cross multiply
    191,483x = 409,030 × 409,030
  4. Step 4: Simplify right side
    191,483x = 167,305,540,900
  5. Step 5: Solve for x
    x = 167,305,540,900/191,483
  6. Step 6: Final answer
    x = 873,735.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.