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Finding the Third Proportional to 289,304 and 592,698

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Solution

The third proportional to 289,304 and 592,698 is: 1,214,262.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,304 : 592,698 = 592,698 : x
  2. Step 2: Convert to fraction form
    289,304/592,698 = 592,698/x
  3. Step 3: Cross multiply
    289,304x = 592,698 × 592,698
  4. Step 4: Simplify right side
    289,304x = 351,290,919,204
  5. Step 5: Solve for x
    x = 351,290,919,204/289,304
  6. Step 6: Final answer
    x = 1,214,262.23

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.