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Finding the Third Proportional to 351,102 and 525,885

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Solution

The third proportional to 351,102 and 525,885 is: 787,677.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,102 : 525,885 = 525,885 : x
  2. Step 2: Convert to fraction form
    351,102/525,885 = 525,885/x
  3. Step 3: Cross multiply
    351,102x = 525,885 × 525,885
  4. Step 4: Simplify right side
    351,102x = 276,555,033,225
  5. Step 5: Solve for x
    x = 276,555,033,225/351,102
  6. Step 6: Final answer
    x = 787,677.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.