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Finding the Third Proportional to 344,202 and 483,857

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Solution

The third proportional to 344,202 and 483,857 is: 680,175.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,202 : 483,857 = 483,857 : x
  2. Step 2: Convert to fraction form
    344,202/483,857 = 483,857/x
  3. Step 3: Cross multiply
    344,202x = 483,857 × 483,857
  4. Step 4: Simplify right side
    344,202x = 234,117,596,449
  5. Step 5: Solve for x
    x = 234,117,596,449/344,202
  6. Step 6: Final answer
    x = 680,175.00

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.