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Finding the Third Proportional to 283,500 and 579,960

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Solution

The third proportional to 283,500 and 579,960 is: 1,186,432.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,500 : 579,960 = 579,960 : x
  2. Step 2: Convert to fraction form
    283,500/579,960 = 579,960/x
  3. Step 3: Cross multiply
    283,500x = 579,960 × 579,960
  4. Step 4: Simplify right side
    283,500x = 336,353,601,600
  5. Step 5: Solve for x
    x = 336,353,601,600/283,500
  6. Step 6: Final answer
    x = 1,186,432.46

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.