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Finding the Third Proportional to 380,969 and 569,584

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Solution

The third proportional to 380,969 and 569,584 is: 851,580.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,969 : 569,584 = 569,584 : x
  2. Step 2: Convert to fraction form
    380,969/569,584 = 569,584/x
  3. Step 3: Cross multiply
    380,969x = 569,584 × 569,584
  4. Step 4: Simplify right side
    380,969x = 324,425,933,056
  5. Step 5: Solve for x
    x = 324,425,933,056/380,969
  6. Step 6: Final answer
    x = 851,580.92

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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.