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Finding the Third Proportional to 216,388 and 467,336

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Solution

The third proportional to 216,388 and 467,336 is: 1,009,311.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,388 : 467,336 = 467,336 : x
  2. Step 2: Convert to fraction form
    216,388/467,336 = 467,336/x
  3. Step 3: Cross multiply
    216,388x = 467,336 × 467,336
  4. Step 4: Simplify right side
    216,388x = 218,402,936,896
  5. Step 5: Solve for x
    x = 218,402,936,896/216,388
  6. Step 6: Final answer
    x = 1,009,311.69

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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.