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Finding the Third Proportional to 207,842 and 448,894

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Solution

The third proportional to 207,842 and 448,894 is: 969,514.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,842 : 448,894 = 448,894 : x
  2. Step 2: Convert to fraction form
    207,842/448,894 = 448,894/x
  3. Step 3: Cross multiply
    207,842x = 448,894 × 448,894
  4. Step 4: Simplify right side
    207,842x = 201,505,823,236
  5. Step 5: Solve for x
    x = 201,505,823,236/207,842
  6. Step 6: Final answer
    x = 969,514.45

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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.