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Finding the Third Proportional to 426,249 and 636,456

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Solution

The third proportional to 426,249 and 636,456 is: 950,327.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,249 : 636,456 = 636,456 : x
  2. Step 2: Convert to fraction form
    426,249/636,456 = 636,456/x
  3. Step 3: Cross multiply
    426,249x = 636,456 × 636,456
  4. Step 4: Simplify right side
    426,249x = 405,076,239,936
  5. Step 5: Solve for x
    x = 405,076,239,936/426,249
  6. Step 6: Final answer
    x = 950,327.72

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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.