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Finding the Third Proportional to 324,266 and 436,539

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Solution

The third proportional to 324,266 and 436,539 is: 587,685.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,266 : 436,539 = 436,539 : x
  2. Step 2: Convert to fraction form
    324,266/436,539 = 436,539/x
  3. Step 3: Cross multiply
    324,266x = 436,539 × 436,539
  4. Step 4: Simplify right side
    324,266x = 190,566,298,521
  5. Step 5: Solve for x
    x = 190,566,298,521/324,266
  6. Step 6: Final answer
    x = 587,685.11

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.