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Finding the Third Proportional to 401,050 and 835,270

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Solution

The third proportional to 401,050 and 835,270 is: 1,739,623.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,050 : 835,270 = 835,270 : x
  2. Step 2: Convert to fraction form
    401,050/835,270 = 835,270/x
  3. Step 3: Cross multiply
    401,050x = 835,270 × 835,270
  4. Step 4: Simplify right side
    401,050x = 697,675,972,900
  5. Step 5: Solve for x
    x = 697,675,972,900/401,050
  6. Step 6: Final answer
    x = 1,739,623.42

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Why These Related Problems?

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