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Finding the Third Proportional to 529,678 and 799,467

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Solution

The third proportional to 529,678 and 799,467 is: 1,206,671.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,678 : 799,467 = 799,467 : x
  2. Step 2: Convert to fraction form
    529,678/799,467 = 799,467/x
  3. Step 3: Cross multiply
    529,678x = 799,467 × 799,467
  4. Step 4: Simplify right side
    529,678x = 639,147,484,089
  5. Step 5: Solve for x
    x = 639,147,484,089/529,678
  6. Step 6: Final answer
    x = 1,206,671.76

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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.