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Finding the Third Proportional to 380,966 and 569,580

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Solution

The third proportional to 380,966 and 569,580 is: 851,575.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,966 : 569,580 = 569,580 : x
  2. Step 2: Convert to fraction form
    380,966/569,580 = 569,580/x
  3. Step 3: Cross multiply
    380,966x = 569,580 × 569,580
  4. Step 4: Simplify right side
    380,966x = 324,421,376,400
  5. Step 5: Solve for x
    x = 324,421,376,400/380,966
  6. Step 6: Final answer
    x = 851,575.67

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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.