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Finding the Third Proportional to 209,340 and 453,780

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Solution

The third proportional to 209,340 and 453,780 is: 983,645.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,340 : 453,780 = 453,780 : x
  2. Step 2: Convert to fraction form
    209,340/453,780 = 453,780/x
  3. Step 3: Cross multiply
    209,340x = 453,780 × 453,780
  4. Step 4: Simplify right side
    209,340x = 205,916,288,400
  5. Step 5: Solve for x
    x = 205,916,288,400/209,340
  6. Step 6: Final answer
    x = 983,645.21

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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.