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Finding the Third Proportional to 283,929 and 576,202

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Solution

The third proportional to 283,929 and 576,202 is: 1,169,337.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,929 : 576,202 = 576,202 : x
  2. Step 2: Convert to fraction form
    283,929/576,202 = 576,202/x
  3. Step 3: Cross multiply
    283,929x = 576,202 × 576,202
  4. Step 4: Simplify right side
    283,929x = 332,008,744,804
  5. Step 5: Solve for x
    x = 332,008,744,804/283,929
  6. Step 6: Final answer
    x = 1,169,337.21

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.