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Finding the Third Proportional to 271,444 and 356,948

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Solution

The third proportional to 271,444 and 356,948 is: 469,385.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,444 : 356,948 = 356,948 : x
  2. Step 2: Convert to fraction form
    271,444/356,948 = 356,948/x
  3. Step 3: Cross multiply
    271,444x = 356,948 × 356,948
  4. Step 4: Simplify right side
    271,444x = 127,411,874,704
  5. Step 5: Solve for x
    x = 127,411,874,704/271,444
  6. Step 6: Final answer
    x = 469,385.49

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.