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Finding the Third Proportional to 436.38 and 592.94

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Solution

The third proportional to 436.38 and 592.94 is: 805.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.38 : 592.94 = 592.94 : x
  2. Step 2: Convert to fraction form
    436.38/592.94 = 592.94/x
  3. Step 3: Cross multiply
    436.38x = 592.94 × 592.94
  4. Step 4: Simplify right side
    436.38x = 351,574.88
  5. Step 5: Solve for x
    x = 351,574.88/436.38
  6. Step 6: Final answer
    x = 805.67

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.