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Finding the Third Proportional to 215,124 and 467,553

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Solution

The third proportional to 215,124 and 467,553 is: 1,016,185.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,124 : 467,553 = 467,553 : x
  2. Step 2: Convert to fraction form
    215,124/467,553 = 467,553/x
  3. Step 3: Cross multiply
    215,124x = 467,553 × 467,553
  4. Step 4: Simplify right side
    215,124x = 218,605,807,809
  5. Step 5: Solve for x
    x = 218,605,807,809/215,124
  6. Step 6: Final answer
    x = 1,016,185.12

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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.