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Finding the Third Proportional to 405,766 and 593,624

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Solution

The third proportional to 405,766 and 593,624 is: 868,454.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,766 : 593,624 = 593,624 : x
  2. Step 2: Convert to fraction form
    405,766/593,624 = 593,624/x
  3. Step 3: Cross multiply
    405,766x = 593,624 × 593,624
  4. Step 4: Simplify right side
    405,766x = 352,389,453,376
  5. Step 5: Solve for x
    x = 352,389,453,376/405,766
  6. Step 6: Final answer
    x = 868,454.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.