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Finding the Third Proportional to 248,789.50 and 533,071.75

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Solution

The third proportional to 248,789.50 and 533,071.75 is: 1,142,192.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,789.50 : 533,071.75 = 533,071.75 : x
  2. Step 2: Convert to fraction form
    248,789.50/533,071.75 = 533,071.75/x
  3. Step 3: Cross multiply
    248,789.50x = 533,071.75 × 533,071.75
  4. Step 4: Simplify right side
    248,789.50x = 284,165,490,648.06
  5. Step 5: Solve for x
    x = 284,165,490,648.06/248,789.50
  6. Step 6: Final answer
    x = 1,142,192.46

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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.