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Finding the Third Proportional to 404,810 and 603,927

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Solution

The third proportional to 404,810 and 603,927 is: 900,985.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,810 : 603,927 = 603,927 : x
  2. Step 2: Convert to fraction form
    404,810/603,927 = 603,927/x
  3. Step 3: Cross multiply
    404,810x = 603,927 × 603,927
  4. Step 4: Simplify right side
    404,810x = 364,727,821,329
  5. Step 5: Solve for x
    x = 364,727,821,329/404,810
  6. Step 6: Final answer
    x = 900,985.21

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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.