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Finding the Third Proportional to 613,280 and 844,500

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Solution

The third proportional to 613,280 and 844,500 is: 1,162,895.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,280 : 844,500 = 844,500 : x
  2. Step 2: Convert to fraction form
    613,280/844,500 = 844,500/x
  3. Step 3: Cross multiply
    613,280x = 844,500 × 844,500
  4. Step 4: Simplify right side
    613,280x = 713,180,250,000
  5. Step 5: Solve for x
    x = 713,180,250,000/613,280
  6. Step 6: Final answer
    x = 1,162,895.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.