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Finding the Third Proportional to 277,237.69 and 417,086.72

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Solution

The third proportional to 277,237.69 and 417,086.72 is: 627,480.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,237.69 : 417,086.72 = 417,086.72 : x
  2. Step 2: Convert to fraction form
    277,237.69/417,086.72 = 417,086.72/x
  3. Step 3: Cross multiply
    277,237.69x = 417,086.72 × 417,086.72
  4. Step 4: Simplify right side
    277,237.69x = 173,961,330,957.64
  5. Step 5: Solve for x
    x = 173,961,330,957.64/277,237.69
  6. Step 6: Final answer
    x = 627,480.82

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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.