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Finding the Third Proportional to 780 and 804

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Solution

The third proportional to 780 and 804 is: 828.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    780 : 804 = 804 : x
  2. Step 2: Convert to fraction form
    780/804 = 804/x
  3. Step 3: Cross multiply
    780x = 804 × 804
  4. Step 4: Simplify right side
    780x = 646,416
  5. Step 5: Solve for x
    x = 646,416/780
  6. Step 6: Final answer
    x = 828.74

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Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.