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Finding the Third Proportional to 333,684 and 719,860

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Solution

The third proportional to 333,684 and 719,860 is: 1,552,961.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,684 : 719,860 = 719,860 : x
  2. Step 2: Convert to fraction form
    333,684/719,860 = 719,860/x
  3. Step 3: Cross multiply
    333,684x = 719,860 × 719,860
  4. Step 4: Simplify right side
    333,684x = 518,198,419,600
  5. Step 5: Solve for x
    x = 518,198,419,600/333,684
  6. Step 6: Final answer
    x = 1,552,961.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.