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Finding the Third Proportional to 254,740 and 539,794

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Solution

The third proportional to 254,740 and 539,794 is: 1,143,823.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,740 : 539,794 = 539,794 : x
  2. Step 2: Convert to fraction form
    254,740/539,794 = 539,794/x
  3. Step 3: Cross multiply
    254,740x = 539,794 × 539,794
  4. Step 4: Simplify right side
    254,740x = 291,377,562,436
  5. Step 5: Solve for x
    x = 291,377,562,436/254,740
  6. Step 6: Final answer
    x = 1,143,823.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.