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Finding the Third Proportional to 377.63 and 583.66

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Solution

The third proportional to 377.63 and 583.66 is: 902.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.63 : 583.66 = 583.66 : x
  2. Step 2: Convert to fraction form
    377.63/583.66 = 583.66/x
  3. Step 3: Cross multiply
    377.63x = 583.66 × 583.66
  4. Step 4: Simplify right side
    377.63x = 340,654.62
  5. Step 5: Solve for x
    x = 340,654.62/377.63
  6. Step 6: Final answer
    x = 902.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.