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Finding the Third Proportional to 297,603 and 447,082.88

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Solution

The third proportional to 297,603 and 447,082.88 is: 671,643.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,603 : 447,082.88 = 447,082.88 : x
  2. Step 2: Convert to fraction form
    297,603/447,082.88 = 447,082.88/x
  3. Step 3: Cross multiply
    297,603x = 447,082.88 × 447,082.88
  4. Step 4: Simplify right side
    297,603x = 199,883,097,118.27
  5. Step 5: Solve for x
    x = 199,883,097,118.27/297,603
  6. Step 6: Final answer
    x = 671,643.42

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