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Finding the Third Proportional to 283,275 and 608,652

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Solution

The third proportional to 283,275 and 608,652 is: 1,307,765.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,275 : 608,652 = 608,652 : x
  2. Step 2: Convert to fraction form
    283,275/608,652 = 608,652/x
  3. Step 3: Cross multiply
    283,275x = 608,652 × 608,652
  4. Step 4: Simplify right side
    283,275x = 370,457,257,104
  5. Step 5: Solve for x
    x = 370,457,257,104/283,275
  6. Step 6: Final answer
    x = 1,307,765.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.