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Finding the Third Proportional to 207,844 and 448,898

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Solution

The third proportional to 207,844 and 448,898 is: 969,522.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,844 : 448,898 = 448,898 : x
  2. Step 2: Convert to fraction form
    207,844/448,898 = 448,898/x
  3. Step 3: Cross multiply
    207,844x = 448,898 × 448,898
  4. Step 4: Simplify right side
    207,844x = 201,509,414,404
  5. Step 5: Solve for x
    x = 201,509,414,404/207,844
  6. Step 6: Final answer
    x = 969,522.40

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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.