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Finding the Third Proportional to 333,003 and 728,214

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Solution

The third proportional to 333,003 and 728,214 is: 1,592,465.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,003 : 728,214 = 728,214 : x
  2. Step 2: Convert to fraction form
    333,003/728,214 = 728,214/x
  3. Step 3: Cross multiply
    333,003x = 728,214 × 728,214
  4. Step 4: Simplify right side
    333,003x = 530,295,629,796
  5. Step 5: Solve for x
    x = 530,295,629,796/333,003
  6. Step 6: Final answer
    x = 1,592,465.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.