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Finding the Third Proportional to 300,805.50 and 642,213

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Solution

The third proportional to 300,805.50 and 642,213 is: 1,371,110.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,805.50 : 642,213 = 642,213 : x
  2. Step 2: Convert to fraction form
    300,805.50/642,213 = 642,213/x
  3. Step 3: Cross multiply
    300,805.50x = 642,213 × 642,213
  4. Step 4: Simplify right side
    300,805.50x = 412,437,537,369
  5. Step 5: Solve for x
    x = 412,437,537,369/300,805.50
  6. Step 6: Final answer
    x = 1,371,110.36

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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.