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Finding the Third Proportional to 368,442 and 568,938

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Solution

The third proportional to 368,442 and 568,938 is: 878,538.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,442 : 568,938 = 568,938 : x
  2. Step 2: Convert to fraction form
    368,442/568,938 = 568,938/x
  3. Step 3: Cross multiply
    368,442x = 568,938 × 568,938
  4. Step 4: Simplify right side
    368,442x = 323,690,447,844
  5. Step 5: Solve for x
    x = 323,690,447,844/368,442
  6. Step 6: Final answer
    x = 878,538.41

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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.