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Finding the Third Proportional to 304,195.50 and 660,717

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Solution

The third proportional to 304,195.50 and 660,717 is: 1,435,086.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,195.50 : 660,717 = 660,717 : x
  2. Step 2: Convert to fraction form
    304,195.50/660,717 = 660,717/x
  3. Step 3: Cross multiply
    304,195.50x = 660,717 × 660,717
  4. Step 4: Simplify right side
    304,195.50x = 436,546,954,089
  5. Step 5: Solve for x
    x = 436,546,954,089/304,195.50
  6. Step 6: Final answer
    x = 1,435,086.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.