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Finding the Third Proportional to 334,144 and 734,447

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Solution

The third proportional to 334,144 and 734,447 is: 1,614,311.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,144 : 734,447 = 734,447 : x
  2. Step 2: Convert to fraction form
    334,144/734,447 = 734,447/x
  3. Step 3: Cross multiply
    334,144x = 734,447 × 734,447
  4. Step 4: Simplify right side
    334,144x = 539,412,395,809
  5. Step 5: Solve for x
    x = 539,412,395,809/334,144
  6. Step 6: Final answer
    x = 1,614,311.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.