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Finding the Third Proportional to 297,467.25 and 446,854.88

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Solution

The third proportional to 297,467.25 and 446,854.88 is: 671,264.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,467.25 : 446,854.88 = 446,854.88 : x
  2. Step 2: Convert to fraction form
    297,467.25/446,854.88 = 446,854.88/x
  3. Step 3: Cross multiply
    297,467.25x = 446,854.88 × 446,854.88
  4. Step 4: Simplify right side
    297,467.25x = 199,679,279,311.27
  5. Step 5: Solve for x
    x = 199,679,279,311.27/297,467.25
  6. Step 6: Final answer
    x = 671,264.75

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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.