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Finding the Third Proportional to 718.03 and 1,696.78

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Solution

The third proportional to 718.03 and 1,696.78 is: 4,009.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.03 : 1,696.78 = 1,696.78 : x
  2. Step 2: Convert to fraction form
    718.03/1,696.78 = 1,696.78/x
  3. Step 3: Cross multiply
    718.03x = 1,696.78 × 1,696.78
  4. Step 4: Simplify right side
    718.03x = 2,879,066.61
  5. Step 5: Solve for x
    x = 2,879,066.61/718.03
  6. Step 6: Final answer
    x = 4,009.67

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.