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Finding the Third Proportional to 283,874 and 473,099

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Solution

The third proportional to 283,874 and 473,099 is: 788,457.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,874 : 473,099 = 473,099 : x
  2. Step 2: Convert to fraction form
    283,874/473,099 = 473,099/x
  3. Step 3: Cross multiply
    283,874x = 473,099 × 473,099
  4. Step 4: Simplify right side
    283,874x = 223,822,663,801
  5. Step 5: Solve for x
    x = 223,822,663,801/283,874
  6. Step 6: Final answer
    x = 788,457.78

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.