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Finding the Third Proportional to 366,965 and 743,789

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Solution

The third proportional to 366,965 and 743,789 is: 1,507,560.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,965 : 743,789 = 743,789 : x
  2. Step 2: Convert to fraction form
    366,965/743,789 = 743,789/x
  3. Step 3: Cross multiply
    366,965x = 743,789 × 743,789
  4. Step 4: Simplify right side
    366,965x = 553,222,076,521
  5. Step 5: Solve for x
    x = 553,222,076,521/366,965
  6. Step 6: Final answer
    x = 1,507,560.88

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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.