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Finding the Third Proportional to 193,672 and 457,919

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Solution

The third proportional to 193,672 and 457,919 is: 1,082,705.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,672 : 457,919 = 457,919 : x
  2. Step 2: Convert to fraction form
    193,672/457,919 = 457,919/x
  3. Step 3: Cross multiply
    193,672x = 457,919 × 457,919
  4. Step 4: Simplify right side
    193,672x = 209,689,810,561
  5. Step 5: Solve for x
    x = 209,689,810,561/193,672
  6. Step 6: Final answer
    x = 1,082,705.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.