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Finding the Third Proportional to 283,825 and 473,022

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Solution

The third proportional to 283,825 and 473,022 is: 788,337.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,825 : 473,022 = 473,022 : x
  2. Step 2: Convert to fraction form
    283,825/473,022 = 473,022/x
  3. Step 3: Cross multiply
    283,825x = 473,022 × 473,022
  4. Step 4: Simplify right side
    283,825x = 223,749,812,484
  5. Step 5: Solve for x
    x = 223,749,812,484/283,825
  6. Step 6: Final answer
    x = 788,337.22

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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.