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Finding the Third Proportional to 248,724 and 542,979

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Solution

The third proportional to 248,724 and 542,979 is: 1,185,354.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,724 : 542,979 = 542,979 : x
  2. Step 2: Convert to fraction form
    248,724/542,979 = 542,979/x
  3. Step 3: Cross multiply
    248,724x = 542,979 × 542,979
  4. Step 4: Simplify right side
    248,724x = 294,826,194,441
  5. Step 5: Solve for x
    x = 294,826,194,441/248,724
  6. Step 6: Final answer
    x = 1,185,354.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.