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Finding the Third Proportional to 199,209 and 431,628

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Solution

The third proportional to 199,209 and 431,628 is: 935,212.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,209 : 431,628 = 431,628 : x
  2. Step 2: Convert to fraction form
    199,209/431,628 = 431,628/x
  3. Step 3: Cross multiply
    199,209x = 431,628 × 431,628
  4. Step 4: Simplify right side
    199,209x = 186,302,730,384
  5. Step 5: Solve for x
    x = 186,302,730,384/199,209
  6. Step 6: Final answer
    x = 935,212.42

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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.