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Finding the Third Proportional to 241,604 and 545,846

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Solution

The third proportional to 241,604 and 545,846 is: 1,233,207.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,604 : 545,846 = 545,846 : x
  2. Step 2: Convert to fraction form
    241,604/545,846 = 545,846/x
  3. Step 3: Cross multiply
    241,604x = 545,846 × 545,846
  4. Step 4: Simplify right side
    241,604x = 297,947,855,716
  5. Step 5: Solve for x
    x = 297,947,855,716/241,604
  6. Step 6: Final answer
    x = 1,233,207.46

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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.