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Finding the Third Proportional to 282,400.50 and 550,611

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Solution

The third proportional to 282,400.50 and 550,611 is: 1,073,555.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,400.50 : 550,611 = 550,611 : x
  2. Step 2: Convert to fraction form
    282,400.50/550,611 = 550,611/x
  3. Step 3: Cross multiply
    282,400.50x = 550,611 × 550,611
  4. Step 4: Simplify right side
    282,400.50x = 303,172,473,321
  5. Step 5: Solve for x
    x = 303,172,473,321/282,400.50
  6. Step 6: Final answer
    x = 1,073,555.02

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.