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Finding the Third Proportional to 305,212 and 463,002

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Solution

The third proportional to 305,212 and 463,002 is: 702,367.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,212 : 463,002 = 463,002 : x
  2. Step 2: Convert to fraction form
    305,212/463,002 = 463,002/x
  3. Step 3: Cross multiply
    305,212x = 463,002 × 463,002
  4. Step 4: Simplify right side
    305,212x = 214,370,852,004
  5. Step 5: Solve for x
    x = 214,370,852,004/305,212
  6. Step 6: Final answer
    x = 702,367.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.