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Finding the Third Proportional to 350,114 and 543,155

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Solution

The third proportional to 350,114 and 543,155 is: 842,632.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,114 : 543,155 = 543,155 : x
  2. Step 2: Convert to fraction form
    350,114/543,155 = 543,155/x
  3. Step 3: Cross multiply
    350,114x = 543,155 × 543,155
  4. Step 4: Simplify right side
    350,114x = 295,017,354,025
  5. Step 5: Solve for x
    x = 295,017,354,025/350,114
  6. Step 6: Final answer
    x = 842,632.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.