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Finding the Third Proportional to 191,393 and 412,033

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Solution

The third proportional to 191,393 and 412,033 is: 887,029.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,393 : 412,033 = 412,033 : x
  2. Step 2: Convert to fraction form
    191,393/412,033 = 412,033/x
  3. Step 3: Cross multiply
    191,393x = 412,033 × 412,033
  4. Step 4: Simplify right side
    191,393x = 169,771,193,089
  5. Step 5: Solve for x
    x = 169,771,193,089/191,393
  6. Step 6: Final answer
    x = 887,029.27

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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.