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Finding the Third Proportional to 282,396.66 and 620,766.84

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Solution

The third proportional to 282,396.66 and 620,766.84 is: 1,364,575.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,396.66 : 620,766.84 = 620,766.84 : x
  2. Step 2: Convert to fraction form
    282,396.66/620,766.84 = 620,766.84/x
  3. Step 3: Cross multiply
    282,396.66x = 620,766.84 × 620,766.84
  4. Step 4: Simplify right side
    282,396.66x = 385,351,474,299.34
  5. Step 5: Solve for x
    x = 385,351,474,299.34/282,396.66
  6. Step 6: Final answer
    x = 1,364,575.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.