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Finding the Third Proportional to 529,512 and 799,140

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Solution

The third proportional to 529,512 and 799,140 is: 1,206,062.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,512 : 799,140 = 799,140 : x
  2. Step 2: Convert to fraction form
    529,512/799,140 = 799,140/x
  3. Step 3: Cross multiply
    529,512x = 799,140 × 799,140
  4. Step 4: Simplify right side
    529,512x = 638,624,739,600
  5. Step 5: Solve for x
    x = 638,624,739,600/529,512
  6. Step 6: Final answer
    x = 1,206,062.83

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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.