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Finding the Third Proportional to 436,178 and 656,451

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Solution

The third proportional to 436,178 and 656,451 is: 987,963.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,178 : 656,451 = 656,451 : x
  2. Step 2: Convert to fraction form
    436,178/656,451 = 656,451/x
  3. Step 3: Cross multiply
    436,178x = 656,451 × 656,451
  4. Step 4: Simplify right side
    436,178x = 430,927,915,401
  5. Step 5: Solve for x
    x = 430,927,915,401/436,178
  6. Step 6: Final answer
    x = 987,963.44

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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.