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Finding the Third Proportional to 592,139.25 and 899,286.75

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Solution

The third proportional to 592,139.25 and 899,286.75 is: 1,365,754.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,139.25 : 899,286.75 = 899,286.75 : x
  2. Step 2: Convert to fraction form
    592,139.25/899,286.75 = 899,286.75/x
  3. Step 3: Cross multiply
    592,139.25x = 899,286.75 × 899,286.75
  4. Step 4: Simplify right side
    592,139.25x = 808,716,658,725.56
  5. Step 5: Solve for x
    x = 808,716,658,725.56/592,139.25
  6. Step 6: Final answer
    x = 1,365,754.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.