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Finding the Third Proportional to 531,951 and 798,456

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Solution

The third proportional to 531,951 and 798,456 is: 1,198,478.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,951 : 798,456 = 798,456 : x
  2. Step 2: Convert to fraction form
    531,951/798,456 = 798,456/x
  3. Step 3: Cross multiply
    531,951x = 798,456 × 798,456
  4. Step 4: Simplify right side
    531,951x = 637,531,983,936
  5. Step 5: Solve for x
    x = 637,531,983,936/531,951
  6. Step 6: Final answer
    x = 1,198,478.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.