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Finding the Third Proportional to 303,566 and 659,619

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Solution

The third proportional to 303,566 and 659,619 is: 1,433,287.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,566 : 659,619 = 659,619 : x
  2. Step 2: Convert to fraction form
    303,566/659,619 = 659,619/x
  3. Step 3: Cross multiply
    303,566x = 659,619 × 659,619
  4. Step 4: Simplify right side
    303,566x = 435,097,225,161
  5. Step 5: Solve for x
    x = 435,097,225,161/303,566
  6. Step 6: Final answer
    x = 1,433,287.08

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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.