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Finding the Third Proportional to 403,504 and 604,481

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Solution

The third proportional to 403,504 and 604,481 is: 905,560.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,504 : 604,481 = 604,481 : x
  2. Step 2: Convert to fraction form
    403,504/604,481 = 604,481/x
  3. Step 3: Cross multiply
    403,504x = 604,481 × 604,481
  4. Step 4: Simplify right side
    403,504x = 365,397,279,361
  5. Step 5: Solve for x
    x = 365,397,279,361/403,504
  6. Step 6: Final answer
    x = 905,560.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.