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Finding the Third Proportional to 283,836 and 473,042

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Solution

The third proportional to 283,836 and 473,042 is: 788,373.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,836 : 473,042 = 473,042 : x
  2. Step 2: Convert to fraction form
    283,836/473,042 = 473,042/x
  3. Step 3: Cross multiply
    283,836x = 473,042 × 473,042
  4. Step 4: Simplify right side
    283,836x = 223,768,733,764
  5. Step 5: Solve for x
    x = 223,768,733,764/283,836
  6. Step 6: Final answer
    x = 788,373.33

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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.