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Finding the Third Proportional to 288,450 and 610,146

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Solution

The third proportional to 288,450 and 610,146 is: 1,290,615.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,450 : 610,146 = 610,146 : x
  2. Step 2: Convert to fraction form
    288,450/610,146 = 610,146/x
  3. Step 3: Cross multiply
    288,450x = 610,146 × 610,146
  4. Step 4: Simplify right side
    288,450x = 372,278,141,316
  5. Step 5: Solve for x
    x = 372,278,141,316/288,450
  6. Step 6: Final answer
    x = 1,290,615.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.