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Finding the Third Proportional to 273,492 and 413,890

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Solution

The third proportional to 273,492 and 413,890 is: 626,361.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,492 : 413,890 = 413,890 : x
  2. Step 2: Convert to fraction form
    273,492/413,890 = 413,890/x
  3. Step 3: Cross multiply
    273,492x = 413,890 × 413,890
  4. Step 4: Simplify right side
    273,492x = 171,304,932,100
  5. Step 5: Solve for x
    x = 171,304,932,100/273,492
  6. Step 6: Final answer
    x = 626,361.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.