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Finding the Third Proportional to 362,859.75 and 576,468.56

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Solution

The third proportional to 362,859.75 and 576,468.56 is: 915,824.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,859.75 : 576,468.56 = 576,468.56 : x
  2. Step 2: Convert to fraction form
    362,859.75/576,468.56 = 576,468.56/x
  3. Step 3: Cross multiply
    362,859.75x = 576,468.56 × 576,468.56
  4. Step 4: Simplify right side
    362,859.75x = 332,316,003,550.82
  5. Step 5: Solve for x
    x = 332,316,003,550.82/362,859.75
  6. Step 6: Final answer
    x = 915,824.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.