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Finding the Third Proportional to 416,319 and 896,874.75

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Solution

The third proportional to 416,319 and 896,874.75 is: 1,932,134.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,319 : 896,874.75 = 896,874.75 : x
  2. Step 2: Convert to fraction form
    416,319/896,874.75 = 896,874.75/x
  3. Step 3: Cross multiply
    416,319x = 896,874.75 × 896,874.75
  4. Step 4: Simplify right side
    416,319x = 804,384,317,187.56
  5. Step 5: Solve for x
    x = 804,384,317,187.56/416,319
  6. Step 6: Final answer
    x = 1,932,134.53

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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.