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Finding the Third Proportional to 557.63 and 638.63

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Solution

The third proportional to 557.63 and 638.63 is: 731.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.63 : 638.63 = 638.63 : x
  2. Step 2: Convert to fraction form
    557.63/638.63 = 638.63/x
  3. Step 3: Cross multiply
    557.63x = 638.63 × 638.63
  4. Step 4: Simplify right side
    557.63x = 407,841.89
  5. Step 5: Solve for x
    x = 407,841.89/557.63
  6. Step 6: Final answer
    x = 731.39

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.