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Finding the Third Proportional to 300,757.50 and 646,713

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Solution

The third proportional to 300,757.50 and 646,713 is: 1,390,614.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,757.50 : 646,713 = 646,713 : x
  2. Step 2: Convert to fraction form
    300,757.50/646,713 = 646,713/x
  3. Step 3: Cross multiply
    300,757.50x = 646,713 × 646,713
  4. Step 4: Simplify right side
    300,757.50x = 418,237,704,369
  5. Step 5: Solve for x
    x = 418,237,704,369/300,757.50
  6. Step 6: Final answer
    x = 1,390,614.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.