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Finding the Third Proportional to 248,960 and 546,296

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Solution

The third proportional to 248,960 and 546,296 is: 1,198,744.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,960 : 546,296 = 546,296 : x
  2. Step 2: Convert to fraction form
    248,960/546,296 = 546,296/x
  3. Step 3: Cross multiply
    248,960x = 546,296 × 546,296
  4. Step 4: Simplify right side
    248,960x = 298,439,319,616
  5. Step 5: Solve for x
    x = 298,439,319,616/248,960
  6. Step 6: Final answer
    x = 1,198,744.05

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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.