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Finding the Third Proportional to 464.06 and 719.72

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Solution

The third proportional to 464.06 and 719.72 is: 1,116.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.06 : 719.72 = 719.72 : x
  2. Step 2: Convert to fraction form
    464.06/719.72 = 719.72/x
  3. Step 3: Cross multiply
    464.06x = 719.72 × 719.72
  4. Step 4: Simplify right side
    464.06x = 517,995.08
  5. Step 5: Solve for x
    x = 517,995.08/464.06
  6. Step 6: Final answer
    x = 1,116.22

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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.