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Finding the Third Proportional to 588,682.69 and 798,927.47

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Solution

The third proportional to 588,682.69 and 798,927.47 is: 1,084,260.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,682.69 : 798,927.47 = 798,927.47 : x
  2. Step 2: Convert to fraction form
    588,682.69/798,927.47 = 798,927.47/x
  3. Step 3: Cross multiply
    588,682.69x = 798,927.47 × 798,927.47
  4. Step 4: Simplify right side
    588,682.69x = 638,285,100,323.28
  5. Step 5: Solve for x
    x = 638,285,100,323.28/588,682.69
  6. Step 6: Final answer
    x = 1,084,260.02

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.