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Finding the Third Proportional to 241,798 and 522,524

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Solution

The third proportional to 241,798 and 522,524 is: 1,129,171.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,798 : 522,524 = 522,524 : x
  2. Step 2: Convert to fraction form
    241,798/522,524 = 522,524/x
  3. Step 3: Cross multiply
    241,798x = 522,524 × 522,524
  4. Step 4: Simplify right side
    241,798x = 273,031,330,576
  5. Step 5: Solve for x
    x = 273,031,330,576/241,798
  6. Step 6: Final answer
    x = 1,129,171.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.