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Finding the Third Proportional to 248,676 and 532,254

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Solution

The third proportional to 248,676 and 532,254 is: 1,139,210.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,676 : 532,254 = 532,254 : x
  2. Step 2: Convert to fraction form
    248,676/532,254 = 532,254/x
  3. Step 3: Cross multiply
    248,676x = 532,254 × 532,254
  4. Step 4: Simplify right side
    248,676x = 283,294,320,516
  5. Step 5: Solve for x
    x = 283,294,320,516/248,676
  6. Step 6: Final answer
    x = 1,139,210.54

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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.