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Finding the Third Proportional to 432,168 and 683,769

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Solution

The third proportional to 432,168 and 683,769 is: 1,081,847.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,168 : 683,769 = 683,769 : x
  2. Step 2: Convert to fraction form
    432,168/683,769 = 683,769/x
  3. Step 3: Cross multiply
    432,168x = 683,769 × 683,769
  4. Step 4: Simplify right side
    432,168x = 467,540,045,361
  5. Step 5: Solve for x
    x = 467,540,045,361/432,168
  6. Step 6: Final answer
    x = 1,081,847.90

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.