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Finding the Third Proportional to 356,944 and 743,464

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Solution

The third proportional to 356,944 and 743,464 is: 1,548,530.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,944 : 743,464 = 743,464 : x
  2. Step 2: Convert to fraction form
    356,944/743,464 = 743,464/x
  3. Step 3: Cross multiply
    356,944x = 743,464 × 743,464
  4. Step 4: Simplify right side
    356,944x = 552,738,719,296
  5. Step 5: Solve for x
    x = 552,738,719,296/356,944
  6. Step 6: Final answer
    x = 1,548,530.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.