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Finding the Third Proportional to 341,821 and 745,149

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Solution

The third proportional to 341,821 and 745,149 is: 1,624,379.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,821 : 745,149 = 745,149 : x
  2. Step 2: Convert to fraction form
    341,821/745,149 = 745,149/x
  3. Step 3: Cross multiply
    341,821x = 745,149 × 745,149
  4. Step 4: Simplify right side
    341,821x = 555,247,032,201
  5. Step 5: Solve for x
    x = 555,247,032,201/341,821
  6. Step 6: Final answer
    x = 1,624,379.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.