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Finding the Third Proportional to 234,736 and 512,488

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Solution

The third proportional to 234,736 and 512,488 is: 1,118,890.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,736 : 512,488 = 512,488 : x
  2. Step 2: Convert to fraction form
    234,736/512,488 = 512,488/x
  3. Step 3: Cross multiply
    234,736x = 512,488 × 512,488
  4. Step 4: Simplify right side
    234,736x = 262,643,950,144
  5. Step 5: Solve for x
    x = 262,643,950,144/234,736
  6. Step 6: Final answer
    x = 1,118,890.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.