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Finding the Third Proportional to 283,820 and 473,015

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Solution

The third proportional to 283,820 and 473,015 is: 788,327.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,820 : 473,015 = 473,015 : x
  2. Step 2: Convert to fraction form
    283,820/473,015 = 473,015/x
  3. Step 3: Cross multiply
    283,820x = 473,015 × 473,015
  4. Step 4: Simplify right side
    283,820x = 223,743,190,225
  5. Step 5: Solve for x
    x = 223,743,190,225/283,820
  6. Step 6: Final answer
    x = 788,327.78

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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.