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Finding the Third Proportional to 702,195.75 and 1,059,611.63

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Solution

The third proportional to 702,195.75 and 1,059,611.63 is: 1,598,951.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,195.75 : 1,059,611.63 = 1,059,611.63 : x
  2. Step 2: Convert to fraction form
    702,195.75/1,059,611.63 = 1,059,611.63/x
  3. Step 3: Cross multiply
    702,195.75x = 1,059,611.63 × 1,059,611.63
  4. Step 4: Simplify right side
    702,195.75x = 1,122,776,795,835.14
  5. Step 5: Solve for x
    x = 1,122,776,795,835.14/702,195.75
  6. Step 6: Final answer
    x = 1,598,951.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.