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Finding the Third Proportional to 277,112.07 and 416,898.30

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Solution

The third proportional to 277,112.07 and 416,898.30 is: 627,198.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,112.07 : 416,898.30 = 416,898.30 : x
  2. Step 2: Convert to fraction form
    277,112.07/416,898.30 = 416,898.30/x
  3. Step 3: Cross multiply
    277,112.07x = 416,898.30 × 416,898.30
  4. Step 4: Simplify right side
    277,112.07x = 173,804,191,565.78
  5. Step 5: Solve for x
    x = 173,804,191,565.78/277,112.07
  6. Step 6: Final answer
    x = 627,198.19

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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.