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Finding the Third Proportional to 430.31 and 919.48

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Solution

The third proportional to 430.31 and 919.48 is: 1,964.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.31 : 919.48 = 919.48 : x
  2. Step 2: Convert to fraction form
    430.31/919.48 = 919.48/x
  3. Step 3: Cross multiply
    430.31x = 919.48 × 919.48
  4. Step 4: Simplify right side
    430.31x = 845,437.15
  5. Step 5: Solve for x
    x = 845,437.15/430.31
  6. Step 6: Final answer
    x = 1,964.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.