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Finding the Third Proportional to 350,645 and 757,330

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Solution

The third proportional to 350,645 and 757,330 is: 1,635,696.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,645 : 757,330 = 757,330 : x
  2. Step 2: Convert to fraction form
    350,645/757,330 = 757,330/x
  3. Step 3: Cross multiply
    350,645x = 757,330 × 757,330
  4. Step 4: Simplify right side
    350,645x = 573,548,728,900
  5. Step 5: Solve for x
    x = 573,548,728,900/350,645
  6. Step 6: Final answer
    x = 1,635,696.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.