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Finding the Third Proportional to 271,345 and 398,889

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Solution

The third proportional to 271,345 and 398,889 is: 586,384.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,345 : 398,889 = 398,889 : x
  2. Step 2: Convert to fraction form
    271,345/398,889 = 398,889/x
  3. Step 3: Cross multiply
    271,345x = 398,889 × 398,889
  4. Step 4: Simplify right side
    271,345x = 159,112,434,321
  5. Step 5: Solve for x
    x = 159,112,434,321/271,345
  6. Step 6: Final answer
    x = 586,384.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.