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Finding the Third Proportional to 401,172.75 and 835,970.63

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Solution

The third proportional to 401,172.75 and 835,970.63 is: 1,742,009.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,172.75 : 835,970.63 = 835,970.63 : x
  2. Step 2: Convert to fraction form
    401,172.75/835,970.63 = 835,970.63/x
  3. Step 3: Cross multiply
    401,172.75x = 835,970.63 × 835,970.63
  4. Step 4: Simplify right side
    401,172.75x = 698,846,885,862.89
  5. Step 5: Solve for x
    x = 698,846,885,862.89/401,172.75
  6. Step 6: Final answer
    x = 1,742,009.86

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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.