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Finding the Third Proportional to 296,286.75 and 422,437.50

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Solution

The third proportional to 296,286.75 and 422,437.50 is: 602,299.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,286.75 : 422,437.50 = 422,437.50 : x
  2. Step 2: Convert to fraction form
    296,286.75/422,437.50 = 422,437.50/x
  3. Step 3: Cross multiply
    296,286.75x = 422,437.50 × 422,437.50
  4. Step 4: Simplify right side
    296,286.75x = 178,453,441,406.25
  5. Step 5: Solve for x
    x = 178,453,441,406.25/296,286.75
  6. Step 6: Final answer
    x = 602,299.77

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.