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Finding the Third Proportional to 300,808.50 and 642,219

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Solution

The third proportional to 300,808.50 and 642,219 is: 1,371,122.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,808.50 : 642,219 = 642,219 : x
  2. Step 2: Convert to fraction form
    300,808.50/642,219 = 642,219/x
  3. Step 3: Cross multiply
    300,808.50x = 642,219 × 642,219
  4. Step 4: Simplify right side
    300,808.50x = 412,445,243,961
  5. Step 5: Solve for x
    x = 412,445,243,961/300,808.50
  6. Step 6: Final answer
    x = 1,371,122.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.