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Finding the Third Proportional to 297,082.13 and 447,047.44

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Solution

The third proportional to 297,082.13 and 447,047.44 is: 672,714.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,082.13 : 447,047.44 = 447,047.44 : x
  2. Step 2: Convert to fraction form
    297,082.13/447,047.44 = 447,047.44/x
  3. Step 3: Cross multiply
    297,082.13x = 447,047.44 × 447,047.44
  4. Step 4: Simplify right side
    297,082.13x = 199,851,411,375.32
  5. Step 5: Solve for x
    x = 199,851,411,375.32/297,082.13
  6. Step 6: Final answer
    x = 672,714.36

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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.