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Finding the Third Proportional to 248,629.50 and 542,802

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Solution

The third proportional to 248,629.50 and 542,802 is: 1,185,032.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,629.50 : 542,802 = 542,802 : x
  2. Step 2: Convert to fraction form
    248,629.50/542,802 = 542,802/x
  3. Step 3: Cross multiply
    248,629.50x = 542,802 × 542,802
  4. Step 4: Simplify right side
    248,629.50x = 294,634,011,204
  5. Step 5: Solve for x
    x = 294,634,011,204/248,629.50
  6. Step 6: Final answer
    x = 1,185,032.39

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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.