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Finding the Third Proportional to 297,492 and 416,100

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Solution

The third proportional to 297,492 and 416,100 is: 581,996.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,492 : 416,100 = 416,100 : x
  2. Step 2: Convert to fraction form
    297,492/416,100 = 416,100/x
  3. Step 3: Cross multiply
    297,492x = 416,100 × 416,100
  4. Step 4: Simplify right side
    297,492x = 173,139,210,000
  5. Step 5: Solve for x
    x = 173,139,210,000/297,492
  6. Step 6: Final answer
    x = 581,996.19

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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.