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Finding the Third Proportional to 248,632 and 542,806

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Solution

The third proportional to 248,632 and 542,806 is: 1,185,037.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,632 : 542,806 = 542,806 : x
  2. Step 2: Convert to fraction form
    248,632/542,806 = 542,806/x
  3. Step 3: Cross multiply
    248,632x = 542,806 × 542,806
  4. Step 4: Simplify right side
    248,632x = 294,638,353,636
  5. Step 5: Solve for x
    x = 294,638,353,636/248,632
  6. Step 6: Final answer
    x = 1,185,037.94

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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.