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Finding the Third Proportional to 294,395 and 466,921

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Solution

The third proportional to 294,395 and 466,921 is: 740,553.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,395 : 466,921 = 466,921 : x
  2. Step 2: Convert to fraction form
    294,395/466,921 = 466,921/x
  3. Step 3: Cross multiply
    294,395x = 466,921 × 466,921
  4. Step 4: Simplify right side
    294,395x = 218,015,220,241
  5. Step 5: Solve for x
    x = 218,015,220,241/294,395
  6. Step 6: Final answer
    x = 740,553.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.