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Finding the Third Proportional to 272,095 and 588,514

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Solution

The third proportional to 272,095 and 588,514 is: 1,272,896.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,095 : 588,514 = 588,514 : x
  2. Step 2: Convert to fraction form
    272,095/588,514 = 588,514/x
  3. Step 3: Cross multiply
    272,095x = 588,514 × 588,514
  4. Step 4: Simplify right side
    272,095x = 346,348,728,196
  5. Step 5: Solve for x
    x = 346,348,728,196/272,095
  6. Step 6: Final answer
    x = 1,272,896.33

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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.