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Finding the Third Proportional to 248,810 and 533,118

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Solution

The third proportional to 248,810 and 533,118 is: 1,142,296.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,810 : 533,118 = 533,118 : x
  2. Step 2: Convert to fraction form
    248,810/533,118 = 533,118/x
  3. Step 3: Cross multiply
    248,810x = 533,118 × 533,118
  4. Step 4: Simplify right side
    248,810x = 284,214,801,924
  5. Step 5: Solve for x
    x = 284,214,801,924/248,810
  6. Step 6: Final answer
    x = 1,142,296.54

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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.