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Finding the Third Proportional to 294,765 and 692,874

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Solution

The third proportional to 294,765 and 692,874 is: 1,628,668.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,765 : 692,874 = 692,874 : x
  2. Step 2: Convert to fraction form
    294,765/692,874 = 692,874/x
  3. Step 3: Cross multiply
    294,765x = 692,874 × 692,874
  4. Step 4: Simplify right side
    294,765x = 480,074,379,876
  5. Step 5: Solve for x
    x = 480,074,379,876/294,765
  6. Step 6: Final answer
    x = 1,628,668.19

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.