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Finding the Third Proportional to 548,258 and 860,251

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Solution

The third proportional to 548,258 and 860,251 is: 1,349,787.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,258 : 860,251 = 860,251 : x
  2. Step 2: Convert to fraction form
    548,258/860,251 = 860,251/x
  3. Step 3: Cross multiply
    548,258x = 860,251 × 860,251
  4. Step 4: Simplify right side
    548,258x = 740,031,783,001
  5. Step 5: Solve for x
    x = 740,031,783,001/548,258
  6. Step 6: Final answer
    x = 1,349,787.48

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.