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Finding the Third Proportional to 617,230 and 961,932

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Solution

The third proportional to 617,230 and 961,932 is: 1,499,138.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,230 : 961,932 = 961,932 : x
  2. Step 2: Convert to fraction form
    617,230/961,932 = 961,932/x
  3. Step 3: Cross multiply
    617,230x = 961,932 × 961,932
  4. Step 4: Simplify right side
    617,230x = 925,313,172,624
  5. Step 5: Solve for x
    x = 925,313,172,624/617,230
  6. Step 6: Final answer
    x = 1,499,138.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.