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Finding the Third Proportional to 301,695.75 and 661,005.75

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Solution

The third proportional to 301,695.75 and 661,005.75 is: 1,448,242.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,695.75 : 661,005.75 = 661,005.75 : x
  2. Step 2: Convert to fraction form
    301,695.75/661,005.75 = 661,005.75/x
  3. Step 3: Cross multiply
    301,695.75x = 661,005.75 × 661,005.75
  4. Step 4: Simplify right side
    301,695.75x = 436,928,601,533.06
  5. Step 5: Solve for x
    x = 436,928,601,533.06/301,695.75
  6. Step 6: Final answer
    x = 1,448,242.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.