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Finding the Third Proportional to 213,388 and 459,856

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Solution

The third proportional to 213,388 and 459,856 is: 991,000.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,388 : 459,856 = 459,856 : x
  2. Step 2: Convert to fraction form
    213,388/459,856 = 459,856/x
  3. Step 3: Cross multiply
    213,388x = 459,856 × 459,856
  4. Step 4: Simplify right side
    213,388x = 211,467,540,736
  5. Step 5: Solve for x
    x = 211,467,540,736/213,388
  6. Step 6: Final answer
    x = 991,000.15

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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.