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Finding the Third Proportional to 350,925 and 524,049

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Solution

The third proportional to 350,925 and 524,049 is: 782,581.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,925 : 524,049 = 524,049 : x
  2. Step 2: Convert to fraction form
    350,925/524,049 = 524,049/x
  3. Step 3: Cross multiply
    350,925x = 524,049 × 524,049
  4. Step 4: Simplify right side
    350,925x = 274,627,354,401
  5. Step 5: Solve for x
    x = 274,627,354,401/350,925
  6. Step 6: Final answer
    x = 782,581.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.