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Finding the Third Proportional to 277,452 and 415,418.63

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Solution

The third proportional to 277,452 and 415,418.63 is: 621,990.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,452 : 415,418.63 = 415,418.63 : x
  2. Step 2: Convert to fraction form
    277,452/415,418.63 = 415,418.63/x
  3. Step 3: Cross multiply
    277,452x = 415,418.63 × 415,418.63
  4. Step 4: Simplify right side
    277,452x = 172,572,633,996.89
  5. Step 5: Solve for x
    x = 172,572,633,996.89/277,452
  6. Step 6: Final answer
    x = 621,990.95

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