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Finding the Third Proportional to 245,392 and 546,080

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Solution

The third proportional to 245,392 and 546,080 is: 1,215,212.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,392 : 546,080 = 546,080 : x
  2. Step 2: Convert to fraction form
    245,392/546,080 = 546,080/x
  3. Step 3: Cross multiply
    245,392x = 546,080 × 546,080
  4. Step 4: Simplify right side
    245,392x = 298,203,366,400
  5. Step 5: Solve for x
    x = 298,203,366,400/245,392
  6. Step 6: Final answer
    x = 1,215,212.26

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.