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Finding the Third Proportional to 277,194 and 446,415

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Solution

The third proportional to 277,194 and 446,415 is: 718,941.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,194 : 446,415 = 446,415 : x
  2. Step 2: Convert to fraction form
    277,194/446,415 = 446,415/x
  3. Step 3: Cross multiply
    277,194x = 446,415 × 446,415
  4. Step 4: Simplify right side
    277,194x = 199,286,352,225
  5. Step 5: Solve for x
    x = 199,286,352,225/277,194
  6. Step 6: Final answer
    x = 718,941.80

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.