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Finding the Third Proportional to 399,373 and 603,219

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Solution

The third proportional to 399,373 and 603,219 is: 911,111.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,373 : 603,219 = 603,219 : x
  2. Step 2: Convert to fraction form
    399,373/603,219 = 603,219/x
  3. Step 3: Cross multiply
    399,373x = 603,219 × 603,219
  4. Step 4: Simplify right side
    399,373x = 363,873,161,961
  5. Step 5: Solve for x
    x = 363,873,161,961/399,373
  6. Step 6: Final answer
    x = 911,111.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.