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Finding the Third Proportional to 284,601 and 427,657.50

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Solution

The third proportional to 284,601 and 427,657.50 is: 642,622.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,601 : 427,657.50 = 427,657.50 : x
  2. Step 2: Convert to fraction form
    284,601/427,657.50 = 427,657.50/x
  3. Step 3: Cross multiply
    284,601x = 427,657.50 × 427,657.50
  4. Step 4: Simplify right side
    284,601x = 182,890,937,306.25
  5. Step 5: Solve for x
    x = 182,890,937,306.25/284,601
  6. Step 6: Final answer
    x = 642,622.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.