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Finding the Third Proportional to 415.88 and 623.77

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Solution

The third proportional to 415.88 and 623.77 is: 935.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.88 : 623.77 = 623.77 : x
  2. Step 2: Convert to fraction form
    415.88/623.77 = 623.77/x
  3. Step 3: Cross multiply
    415.88x = 623.77 × 623.77
  4. Step 4: Simplify right side
    415.88x = 389,083.55
  5. Step 5: Solve for x
    x = 389,083.55/415.88
  6. Step 6: Final answer
    x = 935.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.