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Finding the Third Proportional to 254,865 and 548,786

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Solution

The third proportional to 254,865 and 548,786 is: 1,181,669.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,865 : 548,786 = 548,786 : x
  2. Step 2: Convert to fraction form
    254,865/548,786 = 548,786/x
  3. Step 3: Cross multiply
    254,865x = 548,786 × 548,786
  4. Step 4: Simplify right side
    254,865x = 301,166,073,796
  5. Step 5: Solve for x
    x = 301,166,073,796/254,865
  6. Step 6: Final answer
    x = 1,181,669.02

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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.