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Finding the Third Proportional to 297,508.50 and 453,237.75

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Solution

The third proportional to 297,508.50 and 453,237.75 is: 690,482.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,508.50 : 453,237.75 = 453,237.75 : x
  2. Step 2: Convert to fraction form
    297,508.50/453,237.75 = 453,237.75/x
  3. Step 3: Cross multiply
    297,508.50x = 453,237.75 × 453,237.75
  4. Step 4: Simplify right side
    297,508.50x = 205,424,458,025.06
  5. Step 5: Solve for x
    x = 205,424,458,025.06/297,508.50
  6. Step 6: Final answer
    x = 690,482.65

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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.