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Finding the Third Proportional to 350,811 and 529,389

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Solution

The third proportional to 350,811 and 529,389 is: 798,870.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,811 : 529,389 = 529,389 : x
  2. Step 2: Convert to fraction form
    350,811/529,389 = 529,389/x
  3. Step 3: Cross multiply
    350,811x = 529,389 × 529,389
  4. Step 4: Simplify right side
    350,811x = 280,252,713,321
  5. Step 5: Solve for x
    x = 280,252,713,321/350,811
  6. Step 6: Final answer
    x = 798,870.94

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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.