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Finding the Third Proportional to 429.56 and 957.56

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Solution

The third proportional to 429.56 and 957.56 is: 2,134.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.56 : 957.56 = 957.56 : x
  2. Step 2: Convert to fraction form
    429.56/957.56 = 957.56/x
  3. Step 3: Cross multiply
    429.56x = 957.56 × 957.56
  4. Step 4: Simplify right side
    429.56x = 916,925.94
  5. Step 5: Solve for x
    x = 916,925.94/429.56
  6. Step 6: Final answer
    x = 2,134.56

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.