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Finding the Third Proportional to 230,694 and 500,556

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Solution

The third proportional to 230,694 and 500,556 is: 1,086,098.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,694 : 500,556 = 500,556 : x
  2. Step 2: Convert to fraction form
    230,694/500,556 = 500,556/x
  3. Step 3: Cross multiply
    230,694x = 500,556 × 500,556
  4. Step 4: Simplify right side
    230,694x = 250,556,309,136
  5. Step 5: Solve for x
    x = 250,556,309,136/230,694
  6. Step 6: Final answer
    x = 1,086,098.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.