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Finding the Third Proportional to 215,280 and 467,328

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Solution

The third proportional to 215,280 and 467,328 is: 1,014,471.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,280 : 467,328 = 467,328 : x
  2. Step 2: Convert to fraction form
    215,280/467,328 = 467,328/x
  3. Step 3: Cross multiply
    215,280x = 467,328 × 467,328
  4. Step 4: Simplify right side
    215,280x = 218,395,459,584
  5. Step 5: Solve for x
    x = 218,395,459,584/215,280
  6. Step 6: Final answer
    x = 1,014,471.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.