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Finding the Third Proportional to 262,668 and 406,320

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Solution

The third proportional to 262,668 and 406,320 is: 628,534.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,668 : 406,320 = 406,320 : x
  2. Step 2: Convert to fraction form
    262,668/406,320 = 406,320/x
  3. Step 3: Cross multiply
    262,668x = 406,320 × 406,320
  4. Step 4: Simplify right side
    262,668x = 165,095,942,400
  5. Step 5: Solve for x
    x = 165,095,942,400/262,668
  6. Step 6: Final answer
    x = 628,534.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.