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Finding the Third Proportional to 248,924 and 546,232

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Solution

The third proportional to 248,924 and 546,232 is: 1,198,636.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,924 : 546,232 = 546,232 : x
  2. Step 2: Convert to fraction form
    248,924/546,232 = 546,232/x
  3. Step 3: Cross multiply
    248,924x = 546,232 × 546,232
  4. Step 4: Simplify right side
    248,924x = 298,369,397,824
  5. Step 5: Solve for x
    x = 298,369,397,824/248,924
  6. Step 6: Final answer
    x = 1,198,636.52

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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.