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Finding the Third Proportional to 350,825 and 529,395

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Solution

The third proportional to 350,825 and 529,395 is: 798,857.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,825 : 529,395 = 529,395 : x
  2. Step 2: Convert to fraction form
    350,825/529,395 = 529,395/x
  3. Step 3: Cross multiply
    350,825x = 529,395 × 529,395
  4. Step 4: Simplify right side
    350,825x = 280,259,066,025
  5. Step 5: Solve for x
    x = 280,259,066,025/350,825
  6. Step 6: Final answer
    x = 798,857.17

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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.