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Finding the Third Proportional to 207,906.75 and 456,410.25

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Solution

The third proportional to 207,906.75 and 456,410.25 is: 1,001,941.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,906.75 : 456,410.25 = 456,410.25 : x
  2. Step 2: Convert to fraction form
    207,906.75/456,410.25 = 456,410.25/x
  3. Step 3: Cross multiply
    207,906.75x = 456,410.25 × 456,410.25
  4. Step 4: Simplify right side
    207,906.75x = 208,310,316,305.06
  5. Step 5: Solve for x
    x = 208,310,316,305.06/207,906.75
  6. Step 6: Final answer
    x = 1,001,941.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.