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Finding the Third Proportional to 416,298 and 594,878

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Solution

The third proportional to 416,298 and 594,878 is: 850,063.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,298 : 594,878 = 594,878 : x
  2. Step 2: Convert to fraction form
    416,298/594,878 = 594,878/x
  3. Step 3: Cross multiply
    416,298x = 594,878 × 594,878
  4. Step 4: Simplify right side
    416,298x = 353,879,834,884
  5. Step 5: Solve for x
    x = 353,879,834,884/416,298
  6. Step 6: Final answer
    x = 850,063.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.