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Finding the Third Proportional to 538,036 and 856,254

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Solution

The third proportional to 538,036 and 856,254 is: 1,362,680.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,036 : 856,254 = 856,254 : x
  2. Step 2: Convert to fraction form
    538,036/856,254 = 856,254/x
  3. Step 3: Cross multiply
    538,036x = 856,254 × 856,254
  4. Step 4: Simplify right side
    538,036x = 733,170,912,516
  5. Step 5: Solve for x
    x = 733,170,912,516/538,036
  6. Step 6: Final answer
    x = 1,362,680.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.