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Finding the Third Proportional to 372,465.84 and 576,616.22

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Solution

The third proportional to 372,465.84 and 576,616.22 is: 892,662.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,465.84 : 576,616.22 = 576,616.22 : x
  2. Step 2: Convert to fraction form
    372,465.84/576,616.22 = 576,616.22/x
  3. Step 3: Cross multiply
    372,465.84x = 576,616.22 × 576,616.22
  4. Step 4: Simplify right side
    372,465.84x = 332,486,263,725.55
  5. Step 5: Solve for x
    x = 332,486,263,725.55/372,465.84
  6. Step 6: Final answer
    x = 892,662.43

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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.