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Finding the Third Proportional to 248,804 and 533,103

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Solution

The third proportional to 248,804 and 533,103 is: 1,142,259.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,804 : 533,103 = 533,103 : x
  2. Step 2: Convert to fraction form
    248,804/533,103 = 533,103/x
  3. Step 3: Cross multiply
    248,804x = 533,103 × 533,103
  4. Step 4: Simplify right side
    248,804x = 284,198,808,609
  5. Step 5: Solve for x
    x = 284,198,808,609/248,804
  6. Step 6: Final answer
    x = 1,142,259.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.