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Finding the Third Proportional to 208,497 and 457,591.50

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Solution

The third proportional to 208,497 and 457,591.50 is: 1,004,282.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,497 : 457,591.50 = 457,591.50 : x
  2. Step 2: Convert to fraction form
    208,497/457,591.50 = 457,591.50/x
  3. Step 3: Cross multiply
    208,497x = 457,591.50 × 457,591.50
  4. Step 4: Simplify right side
    208,497x = 209,389,980,872.25
  5. Step 5: Solve for x
    x = 209,389,980,872.25/208,497
  6. Step 6: Final answer
    x = 1,004,282.94

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.