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Finding the Third Proportional to 209,836 and 453,176

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Solution

The third proportional to 209,836 and 453,176 is: 978,709.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,836 : 453,176 = 453,176 : x
  2. Step 2: Convert to fraction form
    209,836/453,176 = 453,176/x
  3. Step 3: Cross multiply
    209,836x = 453,176 × 453,176
  4. Step 4: Simplify right side
    209,836x = 205,368,486,976
  5. Step 5: Solve for x
    x = 205,368,486,976/209,836
  6. Step 6: Final answer
    x = 978,709.50

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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.