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Finding the Third Proportional to 282,733 and 371,610

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Solution

The third proportional to 282,733 and 371,610 is: 488,425.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,733 : 371,610 = 371,610 : x
  2. Step 2: Convert to fraction form
    282,733/371,610 = 371,610/x
  3. Step 3: Cross multiply
    282,733x = 371,610 × 371,610
  4. Step 4: Simplify right side
    282,733x = 138,093,992,100
  5. Step 5: Solve for x
    x = 138,093,992,100/282,733
  6. Step 6: Final answer
    x = 488,425.45

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.