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Finding the Third Proportional to 241,602 and 545,841

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Solution

The third proportional to 241,602 and 545,841 is: 1,233,195.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,602 : 545,841 = 545,841 : x
  2. Step 2: Convert to fraction form
    241,602/545,841 = 545,841/x
  3. Step 3: Cross multiply
    241,602x = 545,841 × 545,841
  4. Step 4: Simplify right side
    241,602x = 297,942,397,281
  5. Step 5: Solve for x
    x = 297,942,397,281/241,602
  6. Step 6: Final answer
    x = 1,233,195.08

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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.