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Finding the Third Proportional to 193,658 and 419,484

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Solution

The third proportional to 193,658 and 419,484 is: 908,647.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,658 : 419,484 = 419,484 : x
  2. Step 2: Convert to fraction form
    193,658/419,484 = 419,484/x
  3. Step 3: Cross multiply
    193,658x = 419,484 × 419,484
  4. Step 4: Simplify right side
    193,658x = 175,966,826,256
  5. Step 5: Solve for x
    x = 175,966,826,256/193,658
  6. Step 6: Final answer
    x = 908,647.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.