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Finding the Third Proportional to 268,454.25 and 578,051.44

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Solution

The third proportional to 268,454.25 and 578,051.44 is: 1,244,694.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,454.25 : 578,051.44 = 578,051.44 : x
  2. Step 2: Convert to fraction form
    268,454.25/578,051.44 = 578,051.44/x
  3. Step 3: Cross multiply
    268,454.25x = 578,051.44 × 578,051.44
  4. Step 4: Simplify right side
    268,454.25x = 334,143,464,395.82
  5. Step 5: Solve for x
    x = 334,143,464,395.82/268,454.25
  6. Step 6: Final answer
    x = 1,244,694.26

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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.