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Finding the Third Proportional to 254,749 and 539,842

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Solution

The third proportional to 254,749 and 539,842 is: 1,143,986.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,749 : 539,842 = 539,842 : x
  2. Step 2: Convert to fraction form
    254,749/539,842 = 539,842/x
  3. Step 3: Cross multiply
    254,749x = 539,842 × 539,842
  4. Step 4: Simplify right side
    254,749x = 291,429,384,964
  5. Step 5: Solve for x
    x = 291,429,384,964/254,749
  6. Step 6: Final answer
    x = 1,143,986.37

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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.