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Finding the Third Proportional to 350,663.50 and 766,937

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Solution

The third proportional to 350,663.50 and 766,937 is: 1,677,369.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,663.50 : 766,937 = 766,937 : x
  2. Step 2: Convert to fraction form
    350,663.50/766,937 = 766,937/x
  3. Step 3: Cross multiply
    350,663.50x = 766,937 × 766,937
  4. Step 4: Simplify right side
    350,663.50x = 588,192,361,969
  5. Step 5: Solve for x
    x = 588,192,361,969/350,663.50
  6. Step 6: Final answer
    x = 1,677,369.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.