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Finding the Third Proportional to 208,670 and 449,731

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Solution

The third proportional to 208,670 and 449,731 is: 969,271.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,670 : 449,731 = 449,731 : x
  2. Step 2: Convert to fraction form
    208,670/449,731 = 449,731/x
  3. Step 3: Cross multiply
    208,670x = 449,731 × 449,731
  4. Step 4: Simplify right side
    208,670x = 202,257,972,361
  5. Step 5: Solve for x
    x = 202,257,972,361/208,670
  6. Step 6: Final answer
    x = 969,271.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.