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Finding the Third Proportional to 353,684 and 723,708

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Solution

The third proportional to 353,684 and 723,708 is: 1,480,850.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,684 : 723,708 = 723,708 : x
  2. Step 2: Convert to fraction form
    353,684/723,708 = 723,708/x
  3. Step 3: Cross multiply
    353,684x = 723,708 × 723,708
  4. Step 4: Simplify right side
    353,684x = 523,753,269,264
  5. Step 5: Solve for x
    x = 523,753,269,264/353,684
  6. Step 6: Final answer
    x = 1,480,850.90

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.