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Finding the Third Proportional to 277,251.75 and 417,848.63

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Solution

The third proportional to 277,251.75 and 417,848.63 is: 629,743.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,251.75 : 417,848.63 = 417,848.63 : x
  2. Step 2: Convert to fraction form
    277,251.75/417,848.63 = 417,848.63/x
  3. Step 3: Cross multiply
    277,251.75x = 417,848.63 × 417,848.63
  4. Step 4: Simplify right side
    277,251.75x = 174,597,473,414.39
  5. Step 5: Solve for x
    x = 174,597,473,414.39/277,251.75
  6. Step 6: Final answer
    x = 629,743.45

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.