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Finding the Third Proportional to 399,244 and 603,023

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Solution

The third proportional to 399,244 and 603,023 is: 910,813.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,244 : 603,023 = 603,023 : x
  2. Step 2: Convert to fraction form
    399,244/603,023 = 603,023/x
  3. Step 3: Cross multiply
    399,244x = 603,023 × 603,023
  4. Step 4: Simplify right side
    399,244x = 363,636,738,529
  5. Step 5: Solve for x
    x = 363,636,738,529/399,244
  6. Step 6: Final answer
    x = 910,813.28

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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.