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Finding the Third Proportional to 411,442 and 617,162

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Solution

The third proportional to 411,442 and 617,162 is: 925,741.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,442 : 617,162 = 617,162 : x
  2. Step 2: Convert to fraction form
    411,442/617,162 = 617,162/x
  3. Step 3: Cross multiply
    411,442x = 617,162 × 617,162
  4. Step 4: Simplify right side
    411,442x = 380,888,934,244
  5. Step 5: Solve for x
    x = 380,888,934,244/411,442
  6. Step 6: Final answer
    x = 925,741.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.