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Finding the Third Proportional to 344,220 and 749,682

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Solution

The third proportional to 344,220 and 749,682 is: 1,632,743.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,220 : 749,682 = 749,682 : x
  2. Step 2: Convert to fraction form
    344,220/749,682 = 749,682/x
  3. Step 3: Cross multiply
    344,220x = 749,682 × 749,682
  4. Step 4: Simplify right side
    344,220x = 562,023,101,124
  5. Step 5: Solve for x
    x = 562,023,101,124/344,220
  6. Step 6: Final answer
    x = 1,632,743.89

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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.