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Finding the Third Proportional to 300,391 and 464,966

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Solution

The third proportional to 300,391 and 464,966 is: 719,706.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,391 : 464,966 = 464,966 : x
  2. Step 2: Convert to fraction form
    300,391/464,966 = 464,966/x
  3. Step 3: Cross multiply
    300,391x = 464,966 × 464,966
  4. Step 4: Simplify right side
    300,391x = 216,193,381,156
  5. Step 5: Solve for x
    x = 216,193,381,156/300,391
  6. Step 6: Final answer
    x = 719,706.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.