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Finding the Third Proportional to 416,259 and 895,758.75

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Solution

The third proportional to 416,259 and 895,758.75 is: 1,927,606.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,259 : 895,758.75 = 895,758.75 : x
  2. Step 2: Convert to fraction form
    416,259/895,758.75 = 895,758.75/x
  3. Step 3: Cross multiply
    416,259x = 895,758.75 × 895,758.75
  4. Step 4: Simplify right side
    416,259x = 802,383,738,201.56
  5. Step 5: Solve for x
    x = 802,383,738,201.56/416,259
  6. Step 6: Final answer
    x = 1,927,606.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.