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Finding the Third Proportional to 271,164 and 592,305

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Solution

The third proportional to 271,164 and 592,305 is: 1,293,775.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,164 : 592,305 = 592,305 : x
  2. Step 2: Convert to fraction form
    271,164/592,305 = 592,305/x
  3. Step 3: Cross multiply
    271,164x = 592,305 × 592,305
  4. Step 4: Simplify right side
    271,164x = 350,825,213,025
  5. Step 5: Solve for x
    x = 350,825,213,025/271,164
  6. Step 6: Final answer
    x = 1,293,775.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.