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Finding the Third Proportional to 262,513 and 407,243

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Solution

The third proportional to 262,513 and 407,243 is: 631,766.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,513 : 407,243 = 407,243 : x
  2. Step 2: Convert to fraction form
    262,513/407,243 = 407,243/x
  3. Step 3: Cross multiply
    262,513x = 407,243 × 407,243
  4. Step 4: Simplify right side
    262,513x = 165,846,861,049
  5. Step 5: Solve for x
    x = 165,846,861,049/262,513
  6. Step 6: Final answer
    x = 631,766.28

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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.