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Finding the Third Proportional to 305,464 and 658,236

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Solution

The third proportional to 305,464 and 658,236 is: 1,418,414.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,464 : 658,236 = 658,236 : x
  2. Step 2: Convert to fraction form
    305,464/658,236 = 658,236/x
  3. Step 3: Cross multiply
    305,464x = 658,236 × 658,236
  4. Step 4: Simplify right side
    305,464x = 433,274,631,696
  5. Step 5: Solve for x
    x = 433,274,631,696/305,464
  6. Step 6: Final answer
    x = 1,418,414.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.