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Finding the Third Proportional to 209,342 and 436,396

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Solution

The third proportional to 209,342 and 436,396 is: 909,714.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,342 : 436,396 = 436,396 : x
  2. Step 2: Convert to fraction form
    209,342/436,396 = 436,396/x
  3. Step 3: Cross multiply
    209,342x = 436,396 × 436,396
  4. Step 4: Simplify right side
    209,342x = 190,441,468,816
  5. Step 5: Solve for x
    x = 190,441,468,816/209,342
  6. Step 6: Final answer
    x = 909,714.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.