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Finding the Third Proportional to 351,102 and 529,754

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Solution

The third proportional to 351,102 and 529,754 is: 799,309.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,102 : 529,754 = 529,754 : x
  2. Step 2: Convert to fraction form
    351,102/529,754 = 529,754/x
  3. Step 3: Cross multiply
    351,102x = 529,754 × 529,754
  4. Step 4: Simplify right side
    351,102x = 280,639,300,516
  5. Step 5: Solve for x
    x = 280,639,300,516/351,102
  6. Step 6: Final answer
    x = 799,309.89

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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.