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Finding the Third Proportional to 291,612 and 593,592

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Solution

The third proportional to 291,612 and 593,592 is: 1,208,288.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,612 : 593,592 = 593,592 : x
  2. Step 2: Convert to fraction form
    291,612/593,592 = 593,592/x
  3. Step 3: Cross multiply
    291,612x = 593,592 × 593,592
  4. Step 4: Simplify right side
    291,612x = 352,351,462,464
  5. Step 5: Solve for x
    x = 352,351,462,464/291,612
  6. Step 6: Final answer
    x = 1,208,288.62

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.