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Finding the Third Proportional to 432,900 and 589,734

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Solution

The third proportional to 432,900 and 589,734 is: 803,386.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,900 : 589,734 = 589,734 : x
  2. Step 2: Convert to fraction form
    432,900/589,734 = 589,734/x
  3. Step 3: Cross multiply
    432,900x = 589,734 × 589,734
  4. Step 4: Simplify right side
    432,900x = 347,786,190,756
  5. Step 5: Solve for x
    x = 347,786,190,756/432,900
  6. Step 6: Final answer
    x = 803,386.90

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.