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Finding the Third Proportional to 569,976.75 and 889,471.13

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Solution

The third proportional to 569,976.75 and 889,471.13 is: 1,388,054.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,976.75 : 889,471.13 = 889,471.13 : x
  2. Step 2: Convert to fraction form
    569,976.75/889,471.13 = 889,471.13/x
  3. Step 3: Cross multiply
    569,976.75x = 889,471.13 × 889,471.13
  4. Step 4: Simplify right side
    569,976.75x = 791,158,882,208.77
  5. Step 5: Solve for x
    x = 791,158,882,208.77/569,976.75
  6. Step 6: Final answer
    x = 1,388,054.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.