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Finding the Third Proportional to 406,480 and 603,824

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Solution

The third proportional to 406,480 and 603,824 is: 896,977.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,480 : 603,824 = 603,824 : x
  2. Step 2: Convert to fraction form
    406,480/603,824 = 603,824/x
  3. Step 3: Cross multiply
    406,480x = 603,824 × 603,824
  4. Step 4: Simplify right side
    406,480x = 364,603,422,976
  5. Step 5: Solve for x
    x = 364,603,422,976/406,480
  6. Step 6: Final answer
    x = 896,977.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.