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Finding the Third Proportional to 481,869 and 705,519

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Solution

The third proportional to 481,869 and 705,519 is: 1,032,971.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,869 : 705,519 = 705,519 : x
  2. Step 2: Convert to fraction form
    481,869/705,519 = 705,519/x
  3. Step 3: Cross multiply
    481,869x = 705,519 × 705,519
  4. Step 4: Simplify right side
    481,869x = 497,757,059,361
  5. Step 5: Solve for x
    x = 497,757,059,361/481,869
  6. Step 6: Final answer
    x = 1,032,971.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.