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Finding the Third Proportional to 525,222 and 769,203

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Solution

The third proportional to 525,222 and 769,203 is: 1,126,520.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,222 : 769,203 = 769,203 : x
  2. Step 2: Convert to fraction form
    525,222/769,203 = 769,203/x
  3. Step 3: Cross multiply
    525,222x = 769,203 × 769,203
  4. Step 4: Simplify right side
    525,222x = 591,673,255,209
  5. Step 5: Solve for x
    x = 591,673,255,209/525,222
  6. Step 6: Final answer
    x = 1,126,520.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.