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Finding the Third Proportional to 282,300 and 587,832

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Solution

The third proportional to 282,300 and 587,832 is: 1,224,039.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,300 : 587,832 = 587,832 : x
  2. Step 2: Convert to fraction form
    282,300/587,832 = 587,832/x
  3. Step 3: Cross multiply
    282,300x = 587,832 × 587,832
  4. Step 4: Simplify right side
    282,300x = 345,546,460,224
  5. Step 5: Solve for x
    x = 345,546,460,224/282,300
  6. Step 6: Final answer
    x = 1,224,039.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.