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Finding the Third Proportional to 271,158 and 517,712

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Solution

The third proportional to 271,158 and 517,712 is: 988,448.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,158 : 517,712 = 517,712 : x
  2. Step 2: Convert to fraction form
    271,158/517,712 = 517,712/x
  3. Step 3: Cross multiply
    271,158x = 517,712 × 517,712
  4. Step 4: Simplify right side
    271,158x = 268,025,714,944
  5. Step 5: Solve for x
    x = 268,025,714,944/271,158
  6. Step 6: Final answer
    x = 988,448.49

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.