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Finding the Third Proportional to 289,926 and 588,004

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Solution

The third proportional to 289,926 and 588,004 is: 1,192,541.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,926 : 588,004 = 588,004 : x
  2. Step 2: Convert to fraction form
    289,926/588,004 = 588,004/x
  3. Step 3: Cross multiply
    289,926x = 588,004 × 588,004
  4. Step 4: Simplify right side
    289,926x = 345,748,704,016
  5. Step 5: Solve for x
    x = 345,748,704,016/289,926
  6. Step 6: Final answer
    x = 1,192,541.21

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.