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Finding the Third Proportional to 481,824 and 705,456

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Solution

The third proportional to 481,824 and 705,456 is: 1,032,883.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,824 : 705,456 = 705,456 : x
  2. Step 2: Convert to fraction form
    481,824/705,456 = 705,456/x
  3. Step 3: Cross multiply
    481,824x = 705,456 × 705,456
  4. Step 4: Simplify right side
    481,824x = 497,668,167,936
  5. Step 5: Solve for x
    x = 497,668,167,936/481,824
  6. Step 6: Final answer
    x = 1,032,883.73

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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.