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Finding the Third Proportional to 297,520 and 416,136

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Solution

The third proportional to 297,520 and 416,136 is: 582,042.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,520 : 416,136 = 416,136 : x
  2. Step 2: Convert to fraction form
    297,520/416,136 = 416,136/x
  3. Step 3: Cross multiply
    297,520x = 416,136 × 416,136
  4. Step 4: Simplify right side
    297,520x = 173,169,170,496
  5. Step 5: Solve for x
    x = 173,169,170,496/297,520
  6. Step 6: Final answer
    x = 582,042.12

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.