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Finding the Third Proportional to 230,046 and 501,918

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Solution

The third proportional to 230,046 and 501,918 is: 1,095,092.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,046 : 501,918 = 501,918 : x
  2. Step 2: Convert to fraction form
    230,046/501,918 = 501,918/x
  3. Step 3: Cross multiply
    230,046x = 501,918 × 501,918
  4. Step 4: Simplify right side
    230,046x = 251,921,678,724
  5. Step 5: Solve for x
    x = 251,921,678,724/230,046
  6. Step 6: Final answer
    x = 1,095,092.63

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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.