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Finding the Third Proportional to 241,455 and 524,427

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Solution

The third proportional to 241,455 and 524,427 is: 1,139,026.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,455 : 524,427 = 524,427 : x
  2. Step 2: Convert to fraction form
    241,455/524,427 = 524,427/x
  3. Step 3: Cross multiply
    241,455x = 524,427 × 524,427
  4. Step 4: Simplify right side
    241,455x = 275,023,678,329
  5. Step 5: Solve for x
    x = 275,023,678,329/241,455
  6. Step 6: Final answer
    x = 1,139,026.64

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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.