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Finding the Third Proportional to 529,912 and 799,848

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Solution

The third proportional to 529,912 and 799,848 is: 1,207,288.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,912 : 799,848 = 799,848 : x
  2. Step 2: Convert to fraction form
    529,912/799,848 = 799,848/x
  3. Step 3: Cross multiply
    529,912x = 799,848 × 799,848
  4. Step 4: Simplify right side
    529,912x = 639,756,823,104
  5. Step 5: Solve for x
    x = 639,756,823,104/529,912
  6. Step 6: Final answer
    x = 1,207,288.80

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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.