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Finding the Third Proportional to 344,189 and 738,202

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Solution

The third proportional to 344,189 and 738,202 is: 1,583,264.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,189 : 738,202 = 738,202 : x
  2. Step 2: Convert to fraction form
    344,189/738,202 = 738,202/x
  3. Step 3: Cross multiply
    344,189x = 738,202 × 738,202
  4. Step 4: Simplify right side
    344,189x = 544,942,192,804
  5. Step 5: Solve for x
    x = 544,942,192,804/344,189
  6. Step 6: Final answer
    x = 1,583,264.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.