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Finding the Third Proportional to 327,927 and 707,514

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Solution

The third proportional to 327,927 and 707,514 is: 1,526,486.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,927 : 707,514 = 707,514 : x
  2. Step 2: Convert to fraction form
    327,927/707,514 = 707,514/x
  3. Step 3: Cross multiply
    327,927x = 707,514 × 707,514
  4. Step 4: Simplify right side
    327,927x = 500,576,060,196
  5. Step 5: Solve for x
    x = 500,576,060,196/327,927
  6. Step 6: Final answer
    x = 1,526,486.26

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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.