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Finding the Third Proportional to 272,014 and 408,258

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Solution

The third proportional to 272,014 and 408,258 is: 612,742.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,014 : 408,258 = 408,258 : x
  2. Step 2: Convert to fraction form
    272,014/408,258 = 408,258/x
  3. Step 3: Cross multiply
    272,014x = 408,258 × 408,258
  4. Step 4: Simplify right side
    272,014x = 166,674,594,564
  5. Step 5: Solve for x
    x = 166,674,594,564/272,014
  6. Step 6: Final answer
    x = 612,742.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.