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Finding the Third Proportional to 463,341 and 739,976

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Solution

The third proportional to 463,341 and 739,976 is: 1,181,774.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,341 : 739,976 = 739,976 : x
  2. Step 2: Convert to fraction form
    463,341/739,976 = 739,976/x
  3. Step 3: Cross multiply
    463,341x = 739,976 × 739,976
  4. Step 4: Simplify right side
    463,341x = 547,564,480,576
  5. Step 5: Solve for x
    x = 547,564,480,576/463,341
  6. Step 6: Final answer
    x = 1,181,774.29

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.