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Finding the Third Proportional to 297,564 and 446,995

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Solution

The third proportional to 297,564 and 446,995 is: 671,467.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,564 : 446,995 = 446,995 : x
  2. Step 2: Convert to fraction form
    297,564/446,995 = 446,995/x
  3. Step 3: Cross multiply
    297,564x = 446,995 × 446,995
  4. Step 4: Simplify right side
    297,564x = 199,804,530,025
  5. Step 5: Solve for x
    x = 199,804,530,025/297,564
  6. Step 6: Final answer
    x = 671,467.42

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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.