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Finding the Third Proportional to 207,801 and 448,830

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Solution

The third proportional to 207,801 and 448,830 is: 969,429.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,801 : 448,830 = 448,830 : x
  2. Step 2: Convert to fraction form
    207,801/448,830 = 448,830/x
  3. Step 3: Cross multiply
    207,801x = 448,830 × 448,830
  4. Step 4: Simplify right side
    207,801x = 201,448,368,900
  5. Step 5: Solve for x
    x = 201,448,368,900/207,801
  6. Step 6: Final answer
    x = 969,429.26

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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.