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Finding the Third Proportional to 464.06 and 718.73

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Solution

The third proportional to 464.06 and 718.73 is: 1,113.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.06 : 718.73 = 718.73 : x
  2. Step 2: Convert to fraction form
    464.06/718.73 = 718.73/x
  3. Step 3: Cross multiply
    464.06x = 718.73 × 718.73
  4. Step 4: Simplify right side
    464.06x = 516,579.10
  5. Step 5: Solve for x
    x = 516,579.10/464.06
  6. Step 6: Final answer
    x = 1,113.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.