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Finding the Third Proportional to 350,427 and 548,976

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Solution

The third proportional to 350,427 and 548,976 is: 860,021.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,427 : 548,976 = 548,976 : x
  2. Step 2: Convert to fraction form
    350,427/548,976 = 548,976/x
  3. Step 3: Cross multiply
    350,427x = 548,976 × 548,976
  4. Step 4: Simplify right side
    350,427x = 301,374,648,576
  5. Step 5: Solve for x
    x = 301,374,648,576/350,427
  6. Step 6: Final answer
    x = 860,021.20

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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.