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Finding the Third Proportional to 236,473 and 483,996

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Solution

The third proportional to 236,473 and 483,996 is: 990,608.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,473 : 483,996 = 483,996 : x
  2. Step 2: Convert to fraction form
    236,473/483,996 = 483,996/x
  3. Step 3: Cross multiply
    236,473x = 483,996 × 483,996
  4. Step 4: Simplify right side
    236,473x = 234,252,128,016
  5. Step 5: Solve for x
    x = 234,252,128,016/236,473
  6. Step 6: Final answer
    x = 990,608.35

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.