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Finding the Third Proportional to 423,936 and 594,184

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Solution

The third proportional to 423,936 and 594,184 is: 832,801.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,936 : 594,184 = 594,184 : x
  2. Step 2: Convert to fraction form
    423,936/594,184 = 594,184/x
  3. Step 3: Cross multiply
    423,936x = 594,184 × 594,184
  4. Step 4: Simplify right side
    423,936x = 353,054,625,856
  5. Step 5: Solve for x
    x = 353,054,625,856/423,936
  6. Step 6: Final answer
    x = 832,801.71

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.