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Finding the Third Proportional to 248,980 and 546,336

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Solution

The third proportional to 248,980 and 546,336 is: 1,198,823.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,980 : 546,336 = 546,336 : x
  2. Step 2: Convert to fraction form
    248,980/546,336 = 546,336/x
  3. Step 3: Cross multiply
    248,980x = 546,336 × 546,336
  4. Step 4: Simplify right side
    248,980x = 298,483,024,896
  5. Step 5: Solve for x
    x = 298,483,024,896/248,980
  6. Step 6: Final answer
    x = 1,198,823.30

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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.