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Finding the Third Proportional to 241,266 and 527,232

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Solution

The third proportional to 241,266 and 527,232 is: 1,152,145.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,266 : 527,232 = 527,232 : x
  2. Step 2: Convert to fraction form
    241,266/527,232 = 527,232/x
  3. Step 3: Cross multiply
    241,266x = 527,232 × 527,232
  4. Step 4: Simplify right side
    241,266x = 277,973,581,824
  5. Step 5: Solve for x
    x = 277,973,581,824/241,266
  6. Step 6: Final answer
    x = 1,152,145.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.