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Finding the Third Proportional to 337,890 and 734,196

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Solution

The third proportional to 337,890 and 734,196 is: 1,595,323.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,890 : 734,196 = 734,196 : x
  2. Step 2: Convert to fraction form
    337,890/734,196 = 734,196/x
  3. Step 3: Cross multiply
    337,890x = 734,196 × 734,196
  4. Step 4: Simplify right side
    337,890x = 539,043,766,416
  5. Step 5: Solve for x
    x = 539,043,766,416/337,890
  6. Step 6: Final answer
    x = 1,595,323.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.