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Finding the Third Proportional to 465.19 and 695.63

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Solution

The third proportional to 465.19 and 695.63 is: 1,040.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.19 : 695.63 = 695.63 : x
  2. Step 2: Convert to fraction form
    465.19/695.63 = 695.63/x
  3. Step 3: Cross multiply
    465.19x = 695.63 × 695.63
  4. Step 4: Simplify right side
    465.19x = 483,894.14
  5. Step 5: Solve for x
    x = 483,894.14/465.19
  6. Step 6: Final answer
    x = 1,040.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.