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Finding the Third Proportional to 248,976 and 546,328

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Solution

The third proportional to 248,976 and 546,328 is: 1,198,807.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,976 : 546,328 = 546,328 : x
  2. Step 2: Convert to fraction form
    248,976/546,328 = 546,328/x
  3. Step 3: Cross multiply
    248,976x = 546,328 × 546,328
  4. Step 4: Simplify right side
    248,976x = 298,474,283,584
  5. Step 5: Solve for x
    x = 298,474,283,584/248,976
  6. Step 6: Final answer
    x = 1,198,807.45

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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.