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Finding the Third Proportional to 525,680 and 804,288

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Solution

The third proportional to 525,680 and 804,288 is: 1,230,556.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,680 : 804,288 = 804,288 : x
  2. Step 2: Convert to fraction form
    525,680/804,288 = 804,288/x
  3. Step 3: Cross multiply
    525,680x = 804,288 × 804,288
  4. Step 4: Simplify right side
    525,680x = 646,879,186,944
  5. Step 5: Solve for x
    x = 646,879,186,944/525,680
  6. Step 6: Final answer
    x = 1,230,556.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.