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Finding the Third Proportional to 451,897 and 700,161

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Solution

The third proportional to 451,897 and 700,161 is: 1,084,816.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,897 : 700,161 = 700,161 : x
  2. Step 2: Convert to fraction form
    451,897/700,161 = 700,161/x
  3. Step 3: Cross multiply
    451,897x = 700,161 × 700,161
  4. Step 4: Simplify right side
    451,897x = 490,225,425,921
  5. Step 5: Solve for x
    x = 490,225,425,921/451,897
  6. Step 6: Final answer
    x = 1,084,816.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.