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Finding the Third Proportional to 208,138 and 490,777

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Solution

The third proportional to 208,138 and 490,777 is: 1,157,222.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,138 : 490,777 = 490,777 : x
  2. Step 2: Convert to fraction form
    208,138/490,777 = 490,777/x
  3. Step 3: Cross multiply
    208,138x = 490,777 × 490,777
  4. Step 4: Simplify right side
    208,138x = 240,862,063,729
  5. Step 5: Solve for x
    x = 240,862,063,729/208,138
  6. Step 6: Final answer
    x = 1,157,222.92

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.