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Finding the Third Proportional to 368,422 and 568,914

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Solution

The third proportional to 368,422 and 568,914 is: 878,511.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,422 : 568,914 = 568,914 : x
  2. Step 2: Convert to fraction form
    368,422/568,914 = 568,914/x
  3. Step 3: Cross multiply
    368,422x = 568,914 × 568,914
  4. Step 4: Simplify right side
    368,422x = 323,663,139,396
  5. Step 5: Solve for x
    x = 323,663,139,396/368,422
  6. Step 6: Final answer
    x = 878,511.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.