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Finding the Third Proportional to 262,305 and 470,624

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Solution

The third proportional to 262,305 and 470,624 is: 844,387.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,305 : 470,624 = 470,624 : x
  2. Step 2: Convert to fraction form
    262,305/470,624 = 470,624/x
  3. Step 3: Cross multiply
    262,305x = 470,624 × 470,624
  4. Step 4: Simplify right side
    262,305x = 221,486,949,376
  5. Step 5: Solve for x
    x = 221,486,949,376/262,305
  6. Step 6: Final answer
    x = 844,387.07

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.