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Finding the Third Proportional to 524,591.44 and 812,485.69

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Solution

The third proportional to 524,591.44 and 812,485.69 is: 1,258,375.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,591.44 : 812,485.69 = 812,485.69 : x
  2. Step 2: Convert to fraction form
    524,591.44/812,485.69 = 812,485.69/x
  3. Step 3: Cross multiply
    524,591.44x = 812,485.69 × 812,485.69
  4. Step 4: Simplify right side
    524,591.44x = 660,132,992,392.35
  5. Step 5: Solve for x
    x = 660,132,992,392.35/524,591.44
  6. Step 6: Final answer
    x = 1,258,375.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.