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Finding the Third Proportional to 241,548 and 524,650

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Solution

The third proportional to 241,548 and 524,650 is: 1,139,556.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,548 : 524,650 = 524,650 : x
  2. Step 2: Convert to fraction form
    241,548/524,650 = 524,650/x
  3. Step 3: Cross multiply
    241,548x = 524,650 × 524,650
  4. Step 4: Simplify right side
    241,548x = 275,257,622,500
  5. Step 5: Solve for x
    x = 275,257,622,500/241,548
  6. Step 6: Final answer
    x = 1,139,556.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.