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Finding the Third Proportional to 209,334 and 453,420

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Solution

The third proportional to 209,334 and 453,420 is: 982,113.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,334 : 453,420 = 453,420 : x
  2. Step 2: Convert to fraction form
    209,334/453,420 = 453,420/x
  3. Step 3: Cross multiply
    209,334x = 453,420 × 453,420
  4. Step 4: Simplify right side
    209,334x = 205,589,696,400
  5. Step 5: Solve for x
    x = 205,589,696,400/209,334
  6. Step 6: Final answer
    x = 982,113.26

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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.