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Finding the Third Proportional to 505,573.13 and 1,073,476.13

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Solution

The third proportional to 505,573.13 and 1,073,476.13 is: 2,279,296.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,573.13 : 1,073,476.13 = 1,073,476.13 : x
  2. Step 2: Convert to fraction form
    505,573.13/1,073,476.13 = 1,073,476.13/x
  3. Step 3: Cross multiply
    505,573.13x = 1,073,476.13 × 1,073,476.13
  4. Step 4: Simplify right side
    505,573.13x = 1,152,350,990,945.02
  5. Step 5: Solve for x
    x = 1,152,350,990,945.02/505,573.13
  6. Step 6: Final answer
    x = 2,279,296.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.