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Finding the Third Proportional to 477.94 and 682.03

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Solution

The third proportional to 477.94 and 682.03 is: 973.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.94 : 682.03 = 682.03 : x
  2. Step 2: Convert to fraction form
    477.94/682.03 = 682.03/x
  3. Step 3: Cross multiply
    477.94x = 682.03 × 682.03
  4. Step 4: Simplify right side
    477.94x = 465,166.63
  5. Step 5: Solve for x
    x = 465,166.63/477.94
  6. Step 6: Final answer
    x = 973.28

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.