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Finding the Third Proportional to 209,672 and 452,720

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Solution

The third proportional to 209,672 and 452,720 is: 977,504.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,672 : 452,720 = 452,720 : x
  2. Step 2: Convert to fraction form
    209,672/452,720 = 452,720/x
  3. Step 3: Cross multiply
    209,672x = 452,720 × 452,720
  4. Step 4: Simplify right side
    209,672x = 204,955,398,400
  5. Step 5: Solve for x
    x = 204,955,398,400/209,672
  6. Step 6: Final answer
    x = 977,504.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.