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Finding the Third Proportional to 194,520 and 457,980

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Solution

The third proportional to 194,520 and 457,980 is: 1,078,273.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,520 : 457,980 = 457,980 : x
  2. Step 2: Convert to fraction form
    194,520/457,980 = 457,980/x
  3. Step 3: Cross multiply
    194,520x = 457,980 × 457,980
  4. Step 4: Simplify right side
    194,520x = 209,745,680,400
  5. Step 5: Solve for x
    x = 209,745,680,400/194,520
  6. Step 6: Final answer
    x = 1,078,273.08

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.