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Finding the Third Proportional to 304,636.50 and 660,939.75

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Solution

The third proportional to 304,636.50 and 660,939.75 is: 1,433,975.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,636.50 : 660,939.75 = 660,939.75 : x
  2. Step 2: Convert to fraction form
    304,636.50/660,939.75 = 660,939.75/x
  3. Step 3: Cross multiply
    304,636.50x = 660,939.75 × 660,939.75
  4. Step 4: Simplify right side
    304,636.50x = 436,841,353,130.06
  5. Step 5: Solve for x
    x = 436,841,353,130.06/304,636.50
  6. Step 6: Final answer
    x = 1,433,975.75

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