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Finding the Third Proportional to 191,391 and 412,032

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Solution

The third proportional to 191,391 and 412,032 is: 887,034.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,391 : 412,032 = 412,032 : x
  2. Step 2: Convert to fraction form
    191,391/412,032 = 412,032/x
  3. Step 3: Cross multiply
    191,391x = 412,032 × 412,032
  4. Step 4: Simplify right side
    191,391x = 169,770,369,024
  5. Step 5: Solve for x
    x = 169,770,369,024/191,391
  6. Step 6: Final answer
    x = 887,034.23

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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.