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Finding the Third Proportional to 283,777 and 423,202

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Solution

The third proportional to 283,777 and 423,202 is: 631,129.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,777 : 423,202 = 423,202 : x
  2. Step 2: Convert to fraction form
    283,777/423,202 = 423,202/x
  3. Step 3: Cross multiply
    283,777x = 423,202 × 423,202
  4. Step 4: Simplify right side
    283,777x = 179,099,932,804
  5. Step 5: Solve for x
    x = 179,099,932,804/283,777
  6. Step 6: Final answer
    x = 631,129.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.