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Finding the Third Proportional to 695.67 and 1,499.63

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Solution

The third proportional to 695.67 and 1,499.63 is: 3,232.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.67 : 1,499.63 = 1,499.63 : x
  2. Step 2: Convert to fraction form
    695.67/1,499.63 = 1,499.63/x
  3. Step 3: Cross multiply
    695.67x = 1,499.63 × 1,499.63
  4. Step 4: Simplify right side
    695.67x = 2,248,875.14
  5. Step 5: Solve for x
    x = 2,248,875.14/695.67
  6. Step 6: Final answer
    x = 3,232.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.