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Finding the Third Proportional to 485,494 and 743,024

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Solution

The third proportional to 485,494 and 743,024 is: 1,137,160.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,494 : 743,024 = 743,024 : x
  2. Step 2: Convert to fraction form
    485,494/743,024 = 743,024/x
  3. Step 3: Cross multiply
    485,494x = 743,024 × 743,024
  4. Step 4: Simplify right side
    485,494x = 552,084,664,576
  5. Step 5: Solve for x
    x = 552,084,664,576/485,494
  6. Step 6: Final answer
    x = 1,137,160.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.