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Finding the Third Proportional to 228,938 and 464,347

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Solution

The third proportional to 228,938 and 464,347 is: 941,818.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,938 : 464,347 = 464,347 : x
  2. Step 2: Convert to fraction form
    228,938/464,347 = 464,347/x
  3. Step 3: Cross multiply
    228,938x = 464,347 × 464,347
  4. Step 4: Simplify right side
    228,938x = 215,618,136,409
  5. Step 5: Solve for x
    x = 215,618,136,409/228,938
  6. Step 6: Final answer
    x = 941,818.90

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.