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Finding the Third Proportional to 254,306 and 384,732

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Solution

The third proportional to 254,306 and 384,732 is: 582,049.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,306 : 384,732 = 384,732 : x
  2. Step 2: Convert to fraction form
    254,306/384,732 = 384,732/x
  3. Step 3: Cross multiply
    254,306x = 384,732 × 384,732
  4. Step 4: Simplify right side
    254,306x = 148,018,711,824
  5. Step 5: Solve for x
    x = 148,018,711,824/254,306
  6. Step 6: Final answer
    x = 582,049.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.