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Finding the Third Proportional to 428.63 and 644.91

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Solution

The third proportional to 428.63 and 644.91 is: 970.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.63 : 644.91 = 644.91 : x
  2. Step 2: Convert to fraction form
    428.63/644.91 = 644.91/x
  3. Step 3: Cross multiply
    428.63x = 644.91 × 644.91
  4. Step 4: Simplify right side
    428.63x = 415,904.07
  5. Step 5: Solve for x
    x = 415,904.07/428.63
  6. Step 6: Final answer
    x = 970.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.