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Finding the Third Proportional to 423,882 and 594,069

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Solution

The third proportional to 423,882 and 594,069 is: 832,585.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,882 : 594,069 = 594,069 : x
  2. Step 2: Convert to fraction form
    423,882/594,069 = 594,069/x
  3. Step 3: Cross multiply
    423,882x = 594,069 × 594,069
  4. Step 4: Simplify right side
    423,882x = 352,917,976,761
  5. Step 5: Solve for x
    x = 352,917,976,761/423,882
  6. Step 6: Final answer
    x = 832,585.43

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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.