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Finding the Third Proportional to 592,481.25 and 846,662.63

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Solution

The third proportional to 592,481.25 and 846,662.63 is: 1,209,890.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,481.25 : 846,662.63 = 846,662.63 : x
  2. Step 2: Convert to fraction form
    592,481.25/846,662.63 = 846,662.63/x
  3. Step 3: Cross multiply
    592,481.25x = 846,662.63 × 846,662.63
  4. Step 4: Simplify right side
    592,481.25x = 716,837,600,571.89
  5. Step 5: Solve for x
    x = 716,837,600,571.89/592,481.25
  6. Step 6: Final answer
    x = 1,209,890.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.