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Finding the Third Proportional to 335,184 and 722,844

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Solution

The third proportional to 335,184 and 722,844 is: 1,558,855.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,184 : 722,844 = 722,844 : x
  2. Step 2: Convert to fraction form
    335,184/722,844 = 722,844/x
  3. Step 3: Cross multiply
    335,184x = 722,844 × 722,844
  4. Step 4: Simplify right side
    335,184x = 522,503,448,336
  5. Step 5: Solve for x
    x = 522,503,448,336/335,184
  6. Step 6: Final answer
    x = 1,558,855.58

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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.