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Finding the Third Proportional to 207,124 and 446,843

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Solution

The third proportional to 207,124 and 446,843 is: 964,005.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,124 : 446,843 = 446,843 : x
  2. Step 2: Convert to fraction form
    207,124/446,843 = 446,843/x
  3. Step 3: Cross multiply
    207,124x = 446,843 × 446,843
  4. Step 4: Simplify right side
    207,124x = 199,668,666,649
  5. Step 5: Solve for x
    x = 199,668,666,649/207,124
  6. Step 6: Final answer
    x = 964,005.46

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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.