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Finding the Third Proportional to 336,304.50 and 491,523

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Solution

The third proportional to 336,304.50 and 491,523 is: 718,381.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,304.50 : 491,523 = 491,523 : x
  2. Step 2: Convert to fraction form
    336,304.50/491,523 = 491,523/x
  3. Step 3: Cross multiply
    336,304.50x = 491,523 × 491,523
  4. Step 4: Simplify right side
    336,304.50x = 241,594,859,529
  5. Step 5: Solve for x
    x = 241,594,859,529/336,304.50
  6. Step 6: Final answer
    x = 718,381.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.