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Finding the Third Proportional to 271,044 and 402,644

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Solution

The third proportional to 271,044 and 402,644 is: 598,139.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,044 : 402,644 = 402,644 : x
  2. Step 2: Convert to fraction form
    271,044/402,644 = 402,644/x
  3. Step 3: Cross multiply
    271,044x = 402,644 × 402,644
  4. Step 4: Simplify right side
    271,044x = 162,122,190,736
  5. Step 5: Solve for x
    x = 162,122,190,736/271,044
  6. Step 6: Final answer
    x = 598,139.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.