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Finding the Third Proportional to 350,687.25 and 766,998

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Solution

The third proportional to 350,687.25 and 766,998 is: 1,677,523.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,687.25 : 766,998 = 766,998 : x
  2. Step 2: Convert to fraction form
    350,687.25/766,998 = 766,998/x
  3. Step 3: Cross multiply
    350,687.25x = 766,998 × 766,998
  4. Step 4: Simplify right side
    350,687.25x = 588,285,932,004
  5. Step 5: Solve for x
    x = 588,285,932,004/350,687.25
  6. Step 6: Final answer
    x = 1,677,523.01

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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.