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Finding the Third Proportional to 248,645 and 542,833

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Solution

The third proportional to 248,645 and 542,833 is: 1,185,093.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,645 : 542,833 = 542,833 : x
  2. Step 2: Convert to fraction form
    248,645/542,833 = 542,833/x
  3. Step 3: Cross multiply
    248,645x = 542,833 × 542,833
  4. Step 4: Simplify right side
    248,645x = 294,667,665,889
  5. Step 5: Solve for x
    x = 294,667,665,889/248,645
  6. Step 6: Final answer
    x = 1,185,093.87

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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.