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Finding the Third Proportional to 294,800 and 692,958

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Solution

The third proportional to 294,800 and 692,958 is: 1,628,869.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,800 : 692,958 = 692,958 : x
  2. Step 2: Convert to fraction form
    294,800/692,958 = 692,958/x
  3. Step 3: Cross multiply
    294,800x = 692,958 × 692,958
  4. Step 4: Simplify right side
    294,800x = 480,190,789,764
  5. Step 5: Solve for x
    x = 480,190,789,764/294,800
  6. Step 6: Final answer
    x = 1,628,869.71

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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.