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Finding the Third Proportional to 548,260 and 860,254

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Solution

The third proportional to 548,260 and 860,254 is: 1,349,791.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,260 : 860,254 = 860,254 : x
  2. Step 2: Convert to fraction form
    548,260/860,254 = 860,254/x
  3. Step 3: Cross multiply
    548,260x = 860,254 × 860,254
  4. Step 4: Simplify right side
    548,260x = 740,036,944,516
  5. Step 5: Solve for x
    x = 740,036,944,516/548,260
  6. Step 6: Final answer
    x = 1,349,791.97

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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.