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Finding the Third Proportional to 335,256 and 723,000

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Solution

The third proportional to 335,256 and 723,000 is: 1,559,193.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,256 : 723,000 = 723,000 : x
  2. Step 2: Convert to fraction form
    335,256/723,000 = 723,000/x
  3. Step 3: Cross multiply
    335,256x = 723,000 × 723,000
  4. Step 4: Simplify right side
    335,256x = 522,729,000,000
  5. Step 5: Solve for x
    x = 522,729,000,000/335,256
  6. Step 6: Final answer
    x = 1,559,193.57

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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.