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Finding the Third Proportional to 468,809 and 725,462

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Solution

The third proportional to 468,809 and 725,462 is: 1,122,621.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,809 : 725,462 = 725,462 : x
  2. Step 2: Convert to fraction form
    468,809/725,462 = 725,462/x
  3. Step 3: Cross multiply
    468,809x = 725,462 × 725,462
  4. Step 4: Simplify right side
    468,809x = 526,295,113,444
  5. Step 5: Solve for x
    x = 526,295,113,444/468,809
  6. Step 6: Final answer
    x = 1,122,621.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.