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Finding the Third Proportional to 335,846 and 723,669

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Solution

The third proportional to 335,846 and 723,669 is: 1,559,336.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,846 : 723,669 = 723,669 : x
  2. Step 2: Convert to fraction form
    335,846/723,669 = 723,669/x
  3. Step 3: Cross multiply
    335,846x = 723,669 × 723,669
  4. Step 4: Simplify right side
    335,846x = 523,696,821,561
  5. Step 5: Solve for x
    x = 523,696,821,561/335,846
  6. Step 6: Final answer
    x = 1,559,336.19

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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.