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Finding the Third Proportional to 241,480 and 524,447

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Solution

The third proportional to 241,480 and 524,447 is: 1,138,995.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,480 : 524,447 = 524,447 : x
  2. Step 2: Convert to fraction form
    241,480/524,447 = 524,447/x
  3. Step 3: Cross multiply
    241,480x = 524,447 × 524,447
  4. Step 4: Simplify right side
    241,480x = 275,044,655,809
  5. Step 5: Solve for x
    x = 275,044,655,809/241,480
  6. Step 6: Final answer
    x = 1,138,995.59

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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.