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Finding the Third Proportional to 350,886 and 529,485

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Solution

The third proportional to 350,886 and 529,485 is: 798,989.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,886 : 529,485 = 529,485 : x
  2. Step 2: Convert to fraction form
    350,886/529,485 = 529,485/x
  3. Step 3: Cross multiply
    350,886x = 529,485 × 529,485
  4. Step 4: Simplify right side
    350,886x = 280,354,365,225
  5. Step 5: Solve for x
    x = 280,354,365,225/350,886
  6. Step 6: Final answer
    x = 798,989.89

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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.