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Finding the Third Proportional to 977.34 and 1,431.56

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Solution

The third proportional to 977.34 and 1,431.56 is: 2,096.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.34 : 1,431.56 = 1,431.56 : x
  2. Step 2: Convert to fraction form
    977.34/1,431.56 = 1,431.56/x
  3. Step 3: Cross multiply
    977.34x = 1,431.56 × 1,431.56
  4. Step 4: Simplify right side
    977.34x = 2,049,371.19
  5. Step 5: Solve for x
    x = 2,049,371.19/977.34
  6. Step 6: Final answer
    x = 2,096.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.