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Finding the Third Proportional to 282,336 and 587,904

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Solution

The third proportional to 282,336 and 587,904 is: 1,224,183.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,336 : 587,904 = 587,904 : x
  2. Step 2: Convert to fraction form
    282,336/587,904 = 587,904/x
  3. Step 3: Cross multiply
    282,336x = 587,904 × 587,904
  4. Step 4: Simplify right side
    282,336x = 345,631,113,216
  5. Step 5: Solve for x
    x = 345,631,113,216/282,336
  6. Step 6: Final answer
    x = 1,224,183.64

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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.