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Finding the Third Proportional to 208,731 and 456,846

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Solution

The third proportional to 208,731 and 456,846 is: 999,891.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,731 : 456,846 = 456,846 : x
  2. Step 2: Convert to fraction form
    208,731/456,846 = 456,846/x
  3. Step 3: Cross multiply
    208,731x = 456,846 × 456,846
  4. Step 4: Simplify right side
    208,731x = 208,708,267,716
  5. Step 5: Solve for x
    x = 208,708,267,716/208,731
  6. Step 6: Final answer
    x = 999,891.09

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.