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Finding the Third Proportional to 248,932 and 392,838

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Solution

The third proportional to 248,932 and 392,838 is: 619,935.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,932 : 392,838 = 392,838 : x
  2. Step 2: Convert to fraction form
    248,932/392,838 = 392,838/x
  3. Step 3: Cross multiply
    248,932x = 392,838 × 392,838
  4. Step 4: Simplify right side
    248,932x = 154,321,694,244
  5. Step 5: Solve for x
    x = 154,321,694,244/248,932
  6. Step 6: Final answer
    x = 619,935.14

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.