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Finding the Third Proportional to 281,097 and 431,801

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Solution

The third proportional to 281,097 and 431,801 is: 663,301.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,097 : 431,801 = 431,801 : x
  2. Step 2: Convert to fraction form
    281,097/431,801 = 431,801/x
  3. Step 3: Cross multiply
    281,097x = 431,801 × 431,801
  4. Step 4: Simplify right side
    281,097x = 186,452,103,601
  5. Step 5: Solve for x
    x = 186,452,103,601/281,097
  6. Step 6: Final answer
    x = 663,301.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.