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Finding the Third Proportional to 376,677.75 and 568,413

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Solution

The third proportional to 376,677.75 and 568,413 is: 857,744.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,677.75 : 568,413 = 568,413 : x
  2. Step 2: Convert to fraction form
    376,677.75/568,413 = 568,413/x
  3. Step 3: Cross multiply
    376,677.75x = 568,413 × 568,413
  4. Step 4: Simplify right side
    376,677.75x = 323,093,338,569
  5. Step 5: Solve for x
    x = 323,093,338,569/376,677.75
  6. Step 6: Final answer
    x = 857,744.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.