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Finding the Third Proportional to 277,401.38 and 417,696.75

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Solution

The third proportional to 277,401.38 and 417,696.75 is: 628,946.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,401.38 : 417,696.75 = 417,696.75 : x
  2. Step 2: Convert to fraction form
    277,401.38/417,696.75 = 417,696.75/x
  3. Step 3: Cross multiply
    277,401.38x = 417,696.75 × 417,696.75
  4. Step 4: Simplify right side
    277,401.38x = 174,470,574,960.56
  5. Step 5: Solve for x
    x = 174,470,574,960.56/277,401.38
  6. Step 6: Final answer
    x = 628,946.32

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Why These Related Problems?

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