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Finding the Third Proportional to 340,418 and 732,100

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Solution

The third proportional to 340,418 and 732,100 is: 1,574,447.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,418 : 732,100 = 732,100 : x
  2. Step 2: Convert to fraction form
    340,418/732,100 = 732,100/x
  3. Step 3: Cross multiply
    340,418x = 732,100 × 732,100
  4. Step 4: Simplify right side
    340,418x = 535,970,410,000
  5. Step 5: Solve for x
    x = 535,970,410,000/340,418
  6. Step 6: Final answer
    x = 1,574,447.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.