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Finding the Third Proportional to 304,539.75 and 660,975.19

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Solution

The third proportional to 304,539.75 and 660,975.19 is: 1,434,585.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,539.75 : 660,975.19 = 660,975.19 : x
  2. Step 2: Convert to fraction form
    304,539.75/660,975.19 = 660,975.19/x
  3. Step 3: Cross multiply
    304,539.75x = 660,975.19 × 660,975.19
  4. Step 4: Simplify right side
    304,539.75x = 436,888,198,490.66
  5. Step 5: Solve for x
    x = 436,888,198,490.66/304,539.75
  6. Step 6: Final answer
    x = 1,434,585.14

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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.