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Finding the Third Proportional to 241,645 and 545,960

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Solution

The third proportional to 241,645 and 545,960 is: 1,233,513.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,645 : 545,960 = 545,960 : x
  2. Step 2: Convert to fraction form
    241,645/545,960 = 545,960/x
  3. Step 3: Cross multiply
    241,645x = 545,960 × 545,960
  4. Step 4: Simplify right side
    241,645x = 298,072,321,600
  5. Step 5: Solve for x
    x = 298,072,321,600/241,645
  6. Step 6: Final answer
    x = 1,233,513.30

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.