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Finding the Third Proportional to 281,558 and 607,126

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Solution

The third proportional to 281,558 and 607,126 is: 1,309,151.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,558 : 607,126 = 607,126 : x
  2. Step 2: Convert to fraction form
    281,558/607,126 = 607,126/x
  3. Step 3: Cross multiply
    281,558x = 607,126 × 607,126
  4. Step 4: Simplify right side
    281,558x = 368,601,979,876
  5. Step 5: Solve for x
    x = 368,601,979,876/281,558
  6. Step 6: Final answer
    x = 1,309,151.15

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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.