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Finding the Third Proportional to 282,568 and 426,732

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Solution

The third proportional to 282,568 and 426,732 is: 644,447.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,568 : 426,732 = 426,732 : x
  2. Step 2: Convert to fraction form
    282,568/426,732 = 426,732/x
  3. Step 3: Cross multiply
    282,568x = 426,732 × 426,732
  4. Step 4: Simplify right side
    282,568x = 182,100,199,824
  5. Step 5: Solve for x
    x = 182,100,199,824/282,568
  6. Step 6: Final answer
    x = 644,447.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.