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Finding the Third Proportional to 271,514 and 585,148

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Solution

The third proportional to 271,514 and 585,148 is: 1,261,070.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,514 : 585,148 = 585,148 : x
  2. Step 2: Convert to fraction form
    271,514/585,148 = 585,148/x
  3. Step 3: Cross multiply
    271,514x = 585,148 × 585,148
  4. Step 4: Simplify right side
    271,514x = 342,398,181,904
  5. Step 5: Solve for x
    x = 342,398,181,904/271,514
  6. Step 6: Final answer
    x = 1,261,070.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.