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Finding the Third Proportional to 366,943 and 743,745

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Solution

The third proportional to 366,943 and 743,745 is: 1,507,472.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,943 : 743,745 = 743,745 : x
  2. Step 2: Convert to fraction form
    366,943/743,745 = 743,745/x
  3. Step 3: Cross multiply
    366,943x = 743,745 × 743,745
  4. Step 4: Simplify right side
    366,943x = 553,156,625,025
  5. Step 5: Solve for x
    x = 553,156,625,025/366,943
  6. Step 6: Final answer
    x = 1,507,472.89

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.