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Finding the Third Proportional to 297,584 and 416,224

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Solution

The third proportional to 297,584 and 416,224 is: 582,163.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,584 : 416,224 = 416,224 : x
  2. Step 2: Convert to fraction form
    297,584/416,224 = 416,224/x
  3. Step 3: Cross multiply
    297,584x = 416,224 × 416,224
  4. Step 4: Simplify right side
    297,584x = 173,242,418,176
  5. Step 5: Solve for x
    x = 173,242,418,176/297,584
  6. Step 6: Final answer
    x = 582,163.08

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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.