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Finding the Third Proportional to 596,512 and 903,456

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Solution

The third proportional to 596,512 and 903,456 is: 1,368,342.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,512 : 903,456 = 903,456 : x
  2. Step 2: Convert to fraction form
    596,512/903,456 = 903,456/x
  3. Step 3: Cross multiply
    596,512x = 903,456 × 903,456
  4. Step 4: Simplify right side
    596,512x = 816,232,743,936
  5. Step 5: Solve for x
    x = 816,232,743,936/596,512
  6. Step 6: Final answer
    x = 1,368,342.54

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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.