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Finding the Third Proportional to 304,409.44 and 660,691.69

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Solution

The third proportional to 304,409.44 and 660,691.69 is: 1,433,968.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,409.44 : 660,691.69 = 660,691.69 : x
  2. Step 2: Convert to fraction form
    304,409.44/660,691.69 = 660,691.69/x
  3. Step 3: Cross multiply
    304,409.44x = 660,691.69 × 660,691.69
  4. Step 4: Simplify right side
    304,409.44x = 436,513,505,931.60
  5. Step 5: Solve for x
    x = 436,513,505,931.60/304,409.44
  6. Step 6: Final answer
    x = 1,433,968.37

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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.