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Finding the Third Proportional to 271,983 and 449,487

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Solution

The third proportional to 271,983 and 449,487 is: 742,835.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,983 : 449,487 = 449,487 : x
  2. Step 2: Convert to fraction form
    271,983/449,487 = 449,487/x
  3. Step 3: Cross multiply
    271,983x = 449,487 × 449,487
  4. Step 4: Simplify right side
    271,983x = 202,038,563,169
  5. Step 5: Solve for x
    x = 202,038,563,169/271,983
  6. Step 6: Final answer
    x = 742,835.26

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.