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Finding the Third Proportional to 282,408.19 and 620,789.06

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Solution

The third proportional to 282,408.19 and 620,789.06 is: 1,364,617.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,408.19 : 620,789.06 = 620,789.06 : x
  2. Step 2: Convert to fraction form
    282,408.19/620,789.06 = 620,789.06/x
  3. Step 3: Cross multiply
    282,408.19x = 620,789.06 × 620,789.06
  4. Step 4: Simplify right side
    282,408.19x = 385,379,060,119.63
  5. Step 5: Solve for x
    x = 385,379,060,119.63/282,408.19
  6. Step 6: Final answer
    x = 1,364,617.16

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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.