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Finding the Third Proportional to 197,726 and 409,478

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Solution

The third proportional to 197,726 and 409,478 is: 848,002.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,726 : 409,478 = 409,478 : x
  2. Step 2: Convert to fraction form
    197,726/409,478 = 409,478/x
  3. Step 3: Cross multiply
    197,726x = 409,478 × 409,478
  4. Step 4: Simplify right side
    197,726x = 167,672,232,484
  5. Step 5: Solve for x
    x = 167,672,232,484/197,726
  6. Step 6: Final answer
    x = 848,002.96

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.