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Finding the Third Proportional to 297,824 and 446,796

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Solution

The third proportional to 297,824 and 446,796 is: 670,284.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,824 : 446,796 = 446,796 : x
  2. Step 2: Convert to fraction form
    297,824/446,796 = 446,796/x
  3. Step 3: Cross multiply
    297,824x = 446,796 × 446,796
  4. Step 4: Simplify right side
    297,824x = 199,626,665,616
  5. Step 5: Solve for x
    x = 199,626,665,616/297,824
  6. Step 6: Final answer
    x = 670,284.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.