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Finding the Third Proportional to 301,832 and 661,264

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Solution

The third proportional to 301,832 and 661,264 is: 1,448,720.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,832 : 661,264 = 661,264 : x
  2. Step 2: Convert to fraction form
    301,832/661,264 = 661,264/x
  3. Step 3: Cross multiply
    301,832x = 661,264 × 661,264
  4. Step 4: Simplify right side
    301,832x = 437,270,077,696
  5. Step 5: Solve for x
    x = 437,270,077,696/301,832
  6. Step 6: Final answer
    x = 1,448,720.08

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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.