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Finding the Third Proportional to 423,879 and 594,066

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Solution

The third proportional to 423,879 and 594,066 is: 832,582.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,879 : 594,066 = 594,066 : x
  2. Step 2: Convert to fraction form
    423,879/594,066 = 594,066/x
  3. Step 3: Cross multiply
    423,879x = 594,066 × 594,066
  4. Step 4: Simplify right side
    423,879x = 352,914,412,356
  5. Step 5: Solve for x
    x = 352,914,412,356/423,879
  6. Step 6: Final answer
    x = 832,582.91

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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.