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Finding the Third Proportional to 254,786 and 545,284

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Solution

The third proportional to 254,786 and 545,284 is: 1,166,997.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,786 : 545,284 = 545,284 : x
  2. Step 2: Convert to fraction form
    254,786/545,284 = 545,284/x
  3. Step 3: Cross multiply
    254,786x = 545,284 × 545,284
  4. Step 4: Simplify right side
    254,786x = 297,334,640,656
  5. Step 5: Solve for x
    x = 297,334,640,656/254,786
  6. Step 6: Final answer
    x = 1,166,997.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.