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Finding the Third Proportional to 241,477 and 524,468

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Solution

The third proportional to 241,477 and 524,468 is: 1,139,100.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,477 : 524,468 = 524,468 : x
  2. Step 2: Convert to fraction form
    241,477/524,468 = 524,468/x
  3. Step 3: Cross multiply
    241,477x = 524,468 × 524,468
  4. Step 4: Simplify right side
    241,477x = 275,066,683,024
  5. Step 5: Solve for x
    x = 275,066,683,024/241,477
  6. Step 6: Final answer
    x = 1,139,100.96

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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.