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Finding the Third Proportional to 416.95 and 592.73

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Solution

The third proportional to 416.95 and 592.73 is: 842.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.95 : 592.73 = 592.73 : x
  2. Step 2: Convert to fraction form
    416.95/592.73 = 592.73/x
  3. Step 3: Cross multiply
    416.95x = 592.73 × 592.73
  4. Step 4: Simplify right side
    416.95x = 351,334.04
  5. Step 5: Solve for x
    x = 351,334.04/416.95
  6. Step 6: Final answer
    x = 842.62

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.