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Finding the Third Proportional to 401,018.63 and 835,094.25

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Solution

The third proportional to 401,018.63 and 835,094.25 is: 1,739,027.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,018.63 : 835,094.25 = 835,094.25 : x
  2. Step 2: Convert to fraction form
    401,018.63/835,094.25 = 835,094.25/x
  3. Step 3: Cross multiply
    401,018.63x = 835,094.25 × 835,094.25
  4. Step 4: Simplify right side
    401,018.63x = 697,382,406,383.06
  5. Step 5: Solve for x
    x = 697,382,406,383.06/401,018.63
  6. Step 6: Final answer
    x = 1,739,027.47

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.