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Finding the Third Proportional to 644.63 and 973.88

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Solution

The third proportional to 644.63 and 973.88 is: 1,471.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.63 : 973.88 = 973.88 : x
  2. Step 2: Convert to fraction form
    644.63/973.88 = 973.88/x
  3. Step 3: Cross multiply
    644.63x = 973.88 × 973.88
  4. Step 4: Simplify right side
    644.63x = 948,432.52
  5. Step 5: Solve for x
    x = 948,432.52/644.63
  6. Step 6: Final answer
    x = 1,471.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.