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Finding the Third Proportional to 282,376.50 and 620,049

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Solution

The third proportional to 282,376.50 and 620,049 is: 1,361,518.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,376.50 : 620,049 = 620,049 : x
  2. Step 2: Convert to fraction form
    282,376.50/620,049 = 620,049/x
  3. Step 3: Cross multiply
    282,376.50x = 620,049 × 620,049
  4. Step 4: Simplify right side
    282,376.50x = 384,460,762,401
  5. Step 5: Solve for x
    x = 384,460,762,401/282,376.50
  6. Step 6: Final answer
    x = 1,361,518.27

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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.