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Finding the Third Proportional to 335,268 and 723,024

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Solution

The third proportional to 335,268 and 723,024 is: 1,559,241.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,268 : 723,024 = 723,024 : x
  2. Step 2: Convert to fraction form
    335,268/723,024 = 723,024/x
  3. Step 3: Cross multiply
    335,268x = 723,024 × 723,024
  4. Step 4: Simplify right side
    335,268x = 522,763,704,576
  5. Step 5: Solve for x
    x = 522,763,704,576/335,268
  6. Step 6: Final answer
    x = 1,559,241.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.