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Finding the Third Proportional to 337,152 and 723,876

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Solution

The third proportional to 337,152 and 723,876 is: 1,554,184.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,152 : 723,876 = 723,876 : x
  2. Step 2: Convert to fraction form
    337,152/723,876 = 723,876/x
  3. Step 3: Cross multiply
    337,152x = 723,876 × 723,876
  4. Step 4: Simplify right side
    337,152x = 523,996,463,376
  5. Step 5: Solve for x
    x = 523,996,463,376/337,152
  6. Step 6: Final answer
    x = 1,554,184.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.