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Finding the Third Proportional to 401,297.50 and 835,810

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Solution

The third proportional to 401,297.50 and 835,810 is: 1,740,799.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,297.50 : 835,810 = 835,810 : x
  2. Step 2: Convert to fraction form
    401,297.50/835,810 = 835,810/x
  3. Step 3: Cross multiply
    401,297.50x = 835,810 × 835,810
  4. Step 4: Simplify right side
    401,297.50x = 698,578,356,100
  5. Step 5: Solve for x
    x = 698,578,356,100/401,297.50
  6. Step 6: Final answer
    x = 1,740,799.17

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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.