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Finding the Third Proportional to 262,251 and 546,642

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Solution

The third proportional to 262,251 and 546,642 is: 1,139,433.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,251 : 546,642 = 546,642 : x
  2. Step 2: Convert to fraction form
    262,251/546,642 = 546,642/x
  3. Step 3: Cross multiply
    262,251x = 546,642 × 546,642
  4. Step 4: Simplify right side
    262,251x = 298,817,476,164
  5. Step 5: Solve for x
    x = 298,817,476,164/262,251
  6. Step 6: Final answer
    x = 1,139,433.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.