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Finding the Third Proportional to 284,842 and 446,815

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Solution

The third proportional to 284,842 and 446,815 is: 700,892.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,842 : 446,815 = 446,815 : x
  2. Step 2: Convert to fraction form
    284,842/446,815 = 446,815/x
  3. Step 3: Cross multiply
    284,842x = 446,815 × 446,815
  4. Step 4: Simplify right side
    284,842x = 199,643,644,225
  5. Step 5: Solve for x
    x = 199,643,644,225/284,842
  6. Step 6: Final answer
    x = 700,892.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.