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Finding the Third Proportional to 297,492.75 and 453,215.25

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Solution

The third proportional to 297,492.75 and 453,215.25 is: 690,450.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,492.75 : 453,215.25 = 453,215.25 : x
  2. Step 2: Convert to fraction form
    297,492.75/453,215.25 = 453,215.25/x
  3. Step 3: Cross multiply
    297,492.75x = 453,215.25 × 453,215.25
  4. Step 4: Simplify right side
    297,492.75x = 205,404,062,832.56
  5. Step 5: Solve for x
    x = 205,404,062,832.56/297,492.75
  6. Step 6: Final answer
    x = 690,450.65

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.