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Finding the Third Proportional to 300,165.75 and 708,550.03

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Solution

The third proportional to 300,165.75 and 708,550.03 is: 1,672,553.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,165.75 : 708,550.03 = 708,550.03 : x
  2. Step 2: Convert to fraction form
    300,165.75/708,550.03 = 708,550.03/x
  3. Step 3: Cross multiply
    300,165.75x = 708,550.03 × 708,550.03
  4. Step 4: Simplify right side
    300,165.75x = 502,043,146,784.38
  5. Step 5: Solve for x
    x = 502,043,146,784.38/300,165.75
  6. Step 6: Final answer
    x = 1,672,553.07

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.