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Finding the Third Proportional to 253,431 and 354,313.50

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Solution

The third proportional to 253,431 and 354,313.50 is: 495,353.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,431 : 354,313.50 = 354,313.50 : x
  2. Step 2: Convert to fraction form
    253,431/354,313.50 = 354,313.50/x
  3. Step 3: Cross multiply
    253,431x = 354,313.50 × 354,313.50
  4. Step 4: Simplify right side
    253,431x = 125,538,056,282.25
  5. Step 5: Solve for x
    x = 125,538,056,282.25/253,431
  6. Step 6: Final answer
    x = 495,353.99

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.