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Finding the Third Proportional to 285,698 and 595,040

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Solution

The third proportional to 285,698 and 595,040 is: 1,239,324.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,698 : 595,040 = 595,040 : x
  2. Step 2: Convert to fraction form
    285,698/595,040 = 595,040/x
  3. Step 3: Cross multiply
    285,698x = 595,040 × 595,040
  4. Step 4: Simplify right side
    285,698x = 354,072,601,600
  5. Step 5: Solve for x
    x = 354,072,601,600/285,698
  6. Step 6: Final answer
    x = 1,239,324.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.