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Finding the Third Proportional to 277,371.75 and 416,064.25

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Solution

The third proportional to 277,371.75 and 416,064.25 is: 624,106.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,371.75 : 416,064.25 = 416,064.25 : x
  2. Step 2: Convert to fraction form
    277,371.75/416,064.25 = 416,064.25/x
  3. Step 3: Cross multiply
    277,371.75x = 416,064.25 × 416,064.25
  4. Step 4: Simplify right side
    277,371.75x = 173,109,460,128.06
  5. Step 5: Solve for x
    x = 173,109,460,128.06/277,371.75
  6. Step 6: Final answer
    x = 624,106.31

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Why These Related Problems?

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