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Finding the Third Proportional to 350,104 and 514,018

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Solution

The third proportional to 350,104 and 514,018 is: 754,674.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,104 : 514,018 = 514,018 : x
  2. Step 2: Convert to fraction form
    350,104/514,018 = 514,018/x
  3. Step 3: Cross multiply
    350,104x = 514,018 × 514,018
  4. Step 4: Simplify right side
    350,104x = 264,214,504,324
  5. Step 5: Solve for x
    x = 264,214,504,324/350,104
  6. Step 6: Final answer
    x = 754,674.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.