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Finding the Third Proportional to 268,551 and 376,460

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Solution

The third proportional to 268,551 and 376,460 is: 527,728.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,551 : 376,460 = 376,460 : x
  2. Step 2: Convert to fraction form
    268,551/376,460 = 376,460/x
  3. Step 3: Cross multiply
    268,551x = 376,460 × 376,460
  4. Step 4: Simplify right side
    268,551x = 141,722,131,600
  5. Step 5: Solve for x
    x = 141,722,131,600/268,551
  6. Step 6: Final answer
    x = 527,728.93

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.