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Finding the Third Proportional to 380,970 and 569,586

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Solution

The third proportional to 380,970 and 569,586 is: 851,584.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,970 : 569,586 = 569,586 : x
  2. Step 2: Convert to fraction form
    380,970/569,586 = 569,586/x
  3. Step 3: Cross multiply
    380,970x = 569,586 × 569,586
  4. Step 4: Simplify right side
    380,970x = 324,428,211,396
  5. Step 5: Solve for x
    x = 324,428,211,396/380,970
  6. Step 6: Final answer
    x = 851,584.67

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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.