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Finding the Third Proportional to 481,320 and 739,890

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Solution

The third proportional to 481,320 and 739,890 is: 1,137,366.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,320 : 739,890 = 739,890 : x
  2. Step 2: Convert to fraction form
    481,320/739,890 = 739,890/x
  3. Step 3: Cross multiply
    481,320x = 739,890 × 739,890
  4. Step 4: Simplify right side
    481,320x = 547,437,212,100
  5. Step 5: Solve for x
    x = 547,437,212,100/481,320
  6. Step 6: Final answer
    x = 1,137,366.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.