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Finding the Third Proportional to 282,373 and 620,041

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Solution

The third proportional to 282,373 and 620,041 is: 1,361,500.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,373 : 620,041 = 620,041 : x
  2. Step 2: Convert to fraction form
    282,373/620,041 = 620,041/x
  3. Step 3: Cross multiply
    282,373x = 620,041 × 620,041
  4. Step 4: Simplify right side
    282,373x = 384,450,841,681
  5. Step 5: Solve for x
    x = 384,450,841,681/282,373
  6. Step 6: Final answer
    x = 1,361,500.01

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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.