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Finding the Third Proportional to 216,504 and 501,208

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Solution

The third proportional to 216,504 and 501,208 is: 1,160,299.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,504 : 501,208 = 501,208 : x
  2. Step 2: Convert to fraction form
    216,504/501,208 = 501,208/x
  3. Step 3: Cross multiply
    216,504x = 501,208 × 501,208
  4. Step 4: Simplify right side
    216,504x = 251,209,459,264
  5. Step 5: Solve for x
    x = 251,209,459,264/216,504
  6. Step 6: Final answer
    x = 1,160,299.39

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.