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Finding the Third Proportional to 697 and 1,804

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Solution

The third proportional to 697 and 1,804 is: 4,669.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    697 : 1,804 = 1,804 : x
  2. Step 2: Convert to fraction form
    697/1,804 = 1,804/x
  3. Step 3: Cross multiply
    697x = 1,804 × 1,804
  4. Step 4: Simplify right side
    697x = 3,254,416
  5. Step 5: Solve for x
    x = 3,254,416/697
  6. Step 6: Final answer
    x = 4,669.18

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Why These Related Problems?

These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.