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Finding the Third Proportional to 481,804 and 749,394

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Solution

The third proportional to 481,804 and 749,394 is: 1,165,601.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,804 : 749,394 = 749,394 : x
  2. Step 2: Convert to fraction form
    481,804/749,394 = 749,394/x
  3. Step 3: Cross multiply
    481,804x = 749,394 × 749,394
  4. Step 4: Simplify right side
    481,804x = 561,591,367,236
  5. Step 5: Solve for x
    x = 561,591,367,236/481,804
  6. Step 6: Final answer
    x = 1,165,601.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.