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Finding the Third Proportional to 416,367 and 895,884.75

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Solution

The third proportional to 416,367 and 895,884.75 is: 1,927,649.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,367 : 895,884.75 = 895,884.75 : x
  2. Step 2: Convert to fraction form
    416,367/895,884.75 = 895,884.75/x
  3. Step 3: Cross multiply
    416,367x = 895,884.75 × 895,884.75
  4. Step 4: Simplify right side
    416,367x = 802,609,485,282.56
  5. Step 5: Solve for x
    x = 802,609,485,282.56/416,367
  6. Step 6: Final answer
    x = 1,927,649.13

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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.