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Finding the Third Proportional to 254,740 and 539,825

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Solution

The third proportional to 254,740 and 539,825 is: 1,143,954.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,740 : 539,825 = 539,825 : x
  2. Step 2: Convert to fraction form
    254,740/539,825 = 539,825/x
  3. Step 3: Cross multiply
    254,740x = 539,825 × 539,825
  4. Step 4: Simplify right side
    254,740x = 291,411,030,625
  5. Step 5: Solve for x
    x = 291,411,030,625/254,740
  6. Step 6: Final answer
    x = 1,143,954.74

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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.