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Finding the Third Proportional to 349,969 and 525,224

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Solution

The third proportional to 349,969 and 525,224 is: 788,241.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,969 : 525,224 = 525,224 : x
  2. Step 2: Convert to fraction form
    349,969/525,224 = 525,224/x
  3. Step 3: Cross multiply
    349,969x = 525,224 × 525,224
  4. Step 4: Simplify right side
    349,969x = 275,860,250,176
  5. Step 5: Solve for x
    x = 275,860,250,176/349,969
  6. Step 6: Final answer
    x = 788,241.96

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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.