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Finding the Third Proportional to 230,628 and 501,645

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Solution

The third proportional to 230,628 and 501,645 is: 1,091,141.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,628 : 501,645 = 501,645 : x
  2. Step 2: Convert to fraction form
    230,628/501,645 = 501,645/x
  3. Step 3: Cross multiply
    230,628x = 501,645 × 501,645
  4. Step 4: Simplify right side
    230,628x = 251,647,706,025
  5. Step 5: Solve for x
    x = 251,647,706,025/230,628
  6. Step 6: Final answer
    x = 1,091,141.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.