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Finding the Third Proportional to 345,998.25 and 748,857.94

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Solution

The third proportional to 345,998.25 and 748,857.94 is: 1,620,783.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,998.25 : 748,857.94 = 748,857.94 : x
  2. Step 2: Convert to fraction form
    345,998.25/748,857.94 = 748,857.94/x
  3. Step 3: Cross multiply
    345,998.25x = 748,857.94 × 748,857.94
  4. Step 4: Simplify right side
    345,998.25x = 560,788,210,556.75
  5. Step 5: Solve for x
    x = 560,788,210,556.75/345,998.25
  6. Step 6: Final answer
    x = 1,620,783.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.