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Finding the Third Proportional to 208,034 and 490,601

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Solution

The third proportional to 208,034 and 490,601 is: 1,156,971.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,034 : 490,601 = 490,601 : x
  2. Step 2: Convert to fraction form
    208,034/490,601 = 490,601/x
  3. Step 3: Cross multiply
    208,034x = 490,601 × 490,601
  4. Step 4: Simplify right side
    208,034x = 240,689,341,201
  5. Step 5: Solve for x
    x = 240,689,341,201/208,034
  6. Step 6: Final answer
    x = 1,156,971.17

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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.