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Finding the Third Proportional to 964.83 and 1,219.43

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Solution

The third proportional to 964.83 and 1,219.43 is: 1,541.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.83 : 1,219.43 = 1,219.43 : x
  2. Step 2: Convert to fraction form
    964.83/1,219.43 = 1,219.43/x
  3. Step 3: Cross multiply
    964.83x = 1,219.43 × 1,219.43
  4. Step 4: Simplify right side
    964.83x = 1,487,008.76
  5. Step 5: Solve for x
    x = 1,487,008.76/964.83
  6. Step 6: Final answer
    x = 1,541.22

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.