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Finding the Third Proportional to 374.63 and 435.38

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Solution

The third proportional to 374.63 and 435.38 is: 505.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.63 : 435.38 = 435.38 : x
  2. Step 2: Convert to fraction form
    374.63/435.38 = 435.38/x
  3. Step 3: Cross multiply
    374.63x = 435.38 × 435.38
  4. Step 4: Simplify right side
    374.63x = 189,551.39
  5. Step 5: Solve for x
    x = 189,551.39/374.63
  6. Step 6: Final answer
    x = 505.98

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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.