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Finding the Third Proportional to 401,294.25 and 835,803.25

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Solution

The third proportional to 401,294.25 and 835,803.25 is: 1,740,785.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,294.25 : 835,803.25 = 835,803.25 : x
  2. Step 2: Convert to fraction form
    401,294.25/835,803.25 = 835,803.25/x
  3. Step 3: Cross multiply
    401,294.25x = 835,803.25 × 835,803.25
  4. Step 4: Simplify right side
    401,294.25x = 698,567,072,710.56
  5. Step 5: Solve for x
    x = 698,567,072,710.56/401,294.25
  6. Step 6: Final answer
    x = 1,740,785.15

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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.