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Finding the Third Proportional to 350,823 and 529,392

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Solution

The third proportional to 350,823 and 529,392 is: 798,852.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,823 : 529,392 = 529,392 : x
  2. Step 2: Convert to fraction form
    350,823/529,392 = 529,392/x
  3. Step 3: Cross multiply
    350,823x = 529,392 × 529,392
  4. Step 4: Simplify right side
    350,823x = 280,255,889,664
  5. Step 5: Solve for x
    x = 280,255,889,664/350,823
  6. Step 6: Final answer
    x = 798,852.67

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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.