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Finding the Third Proportional to 464.63 and 695.81

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Solution

The third proportional to 464.63 and 695.81 is: 1,042.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.63 : 695.81 = 695.81 : x
  2. Step 2: Convert to fraction form
    464.63/695.81 = 695.81/x
  3. Step 3: Cross multiply
    464.63x = 695.81 × 695.81
  4. Step 4: Simplify right side
    464.63x = 484,155.04
  5. Step 5: Solve for x
    x = 484,155.04/464.63
  6. Step 6: Final answer
    x = 1,042.03

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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.