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Finding the Third Proportional to 216,384 and 467,328

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Solution

The third proportional to 216,384 and 467,328 is: 1,009,295.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,384 : 467,328 = 467,328 : x
  2. Step 2: Convert to fraction form
    216,384/467,328 = 467,328/x
  3. Step 3: Cross multiply
    216,384x = 467,328 × 467,328
  4. Step 4: Simplify right side
    216,384x = 218,395,459,584
  5. Step 5: Solve for x
    x = 218,395,459,584/216,384
  6. Step 6: Final answer
    x = 1,009,295.79

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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.