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Finding the Third Proportional to 203,276 and 445,810

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Solution

The third proportional to 203,276 and 445,810 is: 977,717.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,276 : 445,810 = 445,810 : x
  2. Step 2: Convert to fraction form
    203,276/445,810 = 445,810/x
  3. Step 3: Cross multiply
    203,276x = 445,810 × 445,810
  4. Step 4: Simplify right side
    203,276x = 198,746,556,100
  5. Step 5: Solve for x
    x = 198,746,556,100/203,276
  6. Step 6: Final answer
    x = 977,717.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.