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Finding the Third Proportional to 282,339 and 620,652

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Solution

The third proportional to 282,339 and 620,652 is: 1,364,348.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,339 : 620,652 = 620,652 : x
  2. Step 2: Convert to fraction form
    282,339/620,652 = 620,652/x
  3. Step 3: Cross multiply
    282,339x = 620,652 × 620,652
  4. Step 4: Simplify right side
    282,339x = 385,208,905,104
  5. Step 5: Solve for x
    x = 385,208,905,104/282,339
  6. Step 6: Final answer
    x = 1,364,348.90

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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.