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Finding the Third Proportional to 405,746 and 593,595

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Solution

The third proportional to 405,746 and 593,595 is: 868,412.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,746 : 593,595 = 593,595 : x
  2. Step 2: Convert to fraction form
    405,746/593,595 = 593,595/x
  3. Step 3: Cross multiply
    405,746x = 593,595 × 593,595
  4. Step 4: Simplify right side
    405,746x = 352,355,024,025
  5. Step 5: Solve for x
    x = 352,355,024,025/405,746
  6. Step 6: Final answer
    x = 868,412.81

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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.