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Finding the Third Proportional to 350,430 and 548,981

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Solution

The third proportional to 350,430 and 548,981 is: 860,029.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,430 : 548,981 = 548,981 : x
  2. Step 2: Convert to fraction form
    350,430/548,981 = 548,981/x
  3. Step 3: Cross multiply
    350,430x = 548,981 × 548,981
  4. Step 4: Simplify right side
    350,430x = 301,380,138,361
  5. Step 5: Solve for x
    x = 301,380,138,361/350,430
  6. Step 6: Final answer
    x = 860,029.50

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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.