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Finding the Third Proportional to 432,869 and 665,720

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Solution

The third proportional to 432,869 and 665,720 is: 1,023,827.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,869 : 665,720 = 665,720 : x
  2. Step 2: Convert to fraction form
    432,869/665,720 = 665,720/x
  3. Step 3: Cross multiply
    432,869x = 665,720 × 665,720
  4. Step 4: Simplify right side
    432,869x = 443,183,118,400
  5. Step 5: Solve for x
    x = 443,183,118,400/432,869
  6. Step 6: Final answer
    x = 1,023,827.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.