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Finding the Third Proportional to 248,209.31 and 535,777.03

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Solution

The third proportional to 248,209.31 and 535,777.03 is: 1,156,511.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,209.31 : 535,777.03 = 535,777.03 : x
  2. Step 2: Convert to fraction form
    248,209.31/535,777.03 = 535,777.03/x
  3. Step 3: Cross multiply
    248,209.31x = 535,777.03 × 535,777.03
  4. Step 4: Simplify right side
    248,209.31x = 287,057,027,215.06
  5. Step 5: Solve for x
    x = 287,057,027,215.06/248,209.31
  6. Step 6: Final answer
    x = 1,156,511.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.