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Finding the Third Proportional to 207,688 and 451,826

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Solution

The third proportional to 207,688 and 451,826 is: 982,949.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,688 : 451,826 = 451,826 : x
  2. Step 2: Convert to fraction form
    207,688/451,826 = 451,826/x
  3. Step 3: Cross multiply
    207,688x = 451,826 × 451,826
  4. Step 4: Simplify right side
    207,688x = 204,146,734,276
  5. Step 5: Solve for x
    x = 204,146,734,276/207,688
  6. Step 6: Final answer
    x = 982,949.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.