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Finding the Third Proportional to 339,520 and 734,168

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Solution

The third proportional to 339,520 and 734,168 is: 1,587,543.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,520 : 734,168 = 734,168 : x
  2. Step 2: Convert to fraction form
    339,520/734,168 = 734,168/x
  3. Step 3: Cross multiply
    339,520x = 734,168 × 734,168
  4. Step 4: Simplify right side
    339,520x = 539,002,652,224
  5. Step 5: Solve for x
    x = 539,002,652,224/339,520
  6. Step 6: Final answer
    x = 1,587,543.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.