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Finding the Third Proportional to 297,660 and 416,358

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Solution

The third proportional to 297,660 and 416,358 is: 582,389.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,660 : 416,358 = 416,358 : x
  2. Step 2: Convert to fraction form
    297,660/416,358 = 416,358/x
  3. Step 3: Cross multiply
    297,660x = 416,358 × 416,358
  4. Step 4: Simplify right side
    297,660x = 173,353,984,164
  5. Step 5: Solve for x
    x = 173,353,984,164/297,660
  6. Step 6: Final answer
    x = 582,389.25

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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.