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Finding the Third Proportional to 464.06 and 986.63

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Solution

The third proportional to 464.06 and 986.63 is: 2,097.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.06 : 986.63 = 986.63 : x
  2. Step 2: Convert to fraction form
    464.06/986.63 = 986.63/x
  3. Step 3: Cross multiply
    464.06x = 986.63 × 986.63
  4. Step 4: Simplify right side
    464.06x = 973,428.89
  5. Step 5: Solve for x
    x = 973,428.89/464.06
  6. Step 6: Final answer
    x = 2,097.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.