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Finding the Third Proportional to 389,420 and 568,812

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Solution

The third proportional to 389,420 and 568,812 is: 830,843.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,420 : 568,812 = 568,812 : x
  2. Step 2: Convert to fraction form
    389,420/568,812 = 568,812/x
  3. Step 3: Cross multiply
    389,420x = 568,812 × 568,812
  4. Step 4: Simplify right side
    389,420x = 323,547,091,344
  5. Step 5: Solve for x
    x = 323,547,091,344/389,420
  6. Step 6: Final answer
    x = 830,843.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.