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Finding the Third Proportional to 423,864 and 594,132

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Solution

The third proportional to 423,864 and 594,132 is: 832,797.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,864 : 594,132 = 594,132 : x
  2. Step 2: Convert to fraction form
    423,864/594,132 = 594,132/x
  3. Step 3: Cross multiply
    423,864x = 594,132 × 594,132
  4. Step 4: Simplify right side
    423,864x = 352,992,833,424
  5. Step 5: Solve for x
    x = 352,992,833,424/423,864
  6. Step 6: Final answer
    x = 832,797.39

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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.