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Finding the Third Proportional to 297,618.75 and 456,042

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Solution

The third proportional to 297,618.75 and 456,042 is: 698,794.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,618.75 : 456,042 = 456,042 : x
  2. Step 2: Convert to fraction form
    297,618.75/456,042 = 456,042/x
  3. Step 3: Cross multiply
    297,618.75x = 456,042 × 456,042
  4. Step 4: Simplify right side
    297,618.75x = 207,974,305,764
  5. Step 5: Solve for x
    x = 207,974,305,764/297,618.75
  6. Step 6: Final answer
    x = 698,794.37

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.