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Finding the Third Proportional to 385,596 and 603,009

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Solution

The third proportional to 385,596 and 603,009 is: 943,007.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,596 : 603,009 = 603,009 : x
  2. Step 2: Convert to fraction form
    385,596/603,009 = 603,009/x
  3. Step 3: Cross multiply
    385,596x = 603,009 × 603,009
  4. Step 4: Simplify right side
    385,596x = 363,619,854,081
  5. Step 5: Solve for x
    x = 363,619,854,081/385,596
  6. Step 6: Final answer
    x = 943,007.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.