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Finding the Third Proportional to 231,117 and 494,857.50

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Solution

The third proportional to 231,117 and 494,857.50 is: 1,059,567.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,117 : 494,857.50 = 494,857.50 : x
  2. Step 2: Convert to fraction form
    231,117/494,857.50 = 494,857.50/x
  3. Step 3: Cross multiply
    231,117x = 494,857.50 × 494,857.50
  4. Step 4: Simplify right side
    231,117x = 244,883,945,306.25
  5. Step 5: Solve for x
    x = 244,883,945,306.25/231,117
  6. Step 6: Final answer
    x = 1,059,567.00

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.