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Finding the Third Proportional to 352,674 and 513,912

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Solution

The third proportional to 352,674 and 513,912 is: 748,865.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,674 : 513,912 = 513,912 : x
  2. Step 2: Convert to fraction form
    352,674/513,912 = 513,912/x
  3. Step 3: Cross multiply
    352,674x = 513,912 × 513,912
  4. Step 4: Simplify right side
    352,674x = 264,105,543,744
  5. Step 5: Solve for x
    x = 264,105,543,744/352,674
  6. Step 6: Final answer
    x = 748,865.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.